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Finding the Fourth Proportional to 57,768.75, 86,653.14 and 20,832.75

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Solution

The fourth proportional to 57,768.75, 86,653.14 and 20,832.75 is: 31,249.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,768.75 : 86,653.14 = 20,832.75 : x
  2. Step 2: Convert to fraction form
    57,768.75/86,653.14 = 20,832.75/x
  3. Step 3: Cross multiply
    57,768.75x = 86,653.14 × 20,832.75
  4. Step 4: Simplify right side
    57,768.75x = 1,805,223,202.34
  5. Step 5: Solve for x
    x = 1,805,223,202.34/57,768.75
  6. Step 6: Final answer
    x = 31,249.13

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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.