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Finding the Fourth Proportional to 57,642.28, 86,463.42 and 33,001

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Solution

The fourth proportional to 57,642.28, 86,463.42 and 33,001 is: 49,501.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,642.28 : 86,463.42 = 33,001 : x
  2. Step 2: Convert to fraction form
    57,642.28/86,463.42 = 33,001/x
  3. Step 3: Cross multiply
    57,642.28x = 86,463.42 × 33,001
  4. Step 4: Simplify right side
    57,642.28x = 2,853,379,323.42
  5. Step 5: Solve for x
    x = 2,853,379,323.42/57,642.28
  6. Step 6: Final answer
    x = 49,501.50

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Half scale
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Double scale
Find fourth proportional to 57,643.28, 86,464.92 and 33,002
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.