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Finding the Fourth Proportional to 57,472.65, 86,265.86 and 47,066.13

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Solution

The fourth proportional to 57,472.65, 86,265.86 and 47,066.13 is: 70,645.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,472.65 : 86,265.86 = 47,066.13 : x
  2. Step 2: Convert to fraction form
    57,472.65/86,265.86 = 47,066.13/x
  3. Step 3: Cross multiply
    57,472.65x = 86,265.86 × 47,066.13
  4. Step 4: Simplify right side
    57,472.65x = 4,060,199,945.99
  5. Step 5: Solve for x
    x = 4,060,199,945.99/57,472.65
  6. Step 6: Final answer
    x = 70,645.78

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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.