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Finding the Fourth Proportional to 82,287.04, 123,430.56 and 19,957

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Solution

The fourth proportional to 82,287.04, 123,430.56 and 19,957 is: 29,935.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,287.04 : 123,430.56 = 19,957 : x
  2. Step 2: Convert to fraction form
    82,287.04/123,430.56 = 19,957/x
  3. Step 3: Cross multiply
    82,287.04x = 123,430.56 × 19,957
  4. Step 4: Simplify right side
    82,287.04x = 2,463,303,685.92
  5. Step 5: Solve for x
    x = 2,463,303,685.92/82,287.04
  6. Step 6: Final answer
    x = 29,935.50

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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.