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Finding the Fourth Proportional to 57,790.92, 86,713.78 and 40,048.86

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Solution

The fourth proportional to 57,790.92, 86,713.78 and 40,048.86 is: 60,092.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,790.92 : 86,713.78 = 40,048.86 : x
  2. Step 2: Convert to fraction form
    57,790.92/86,713.78 = 40,048.86/x
  3. Step 3: Cross multiply
    57,790.92x = 86,713.78 × 40,048.86
  4. Step 4: Simplify right side
    57,790.92x = 3,472,788,035.29
  5. Step 5: Solve for x
    x = 3,472,788,035.29/57,790.92
  6. Step 6: Final answer
    x = 60,092.28

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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.