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Finding the Fourth Proportional to 57,609.78, 86,414.27 and 16,056.78

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Solution

The fourth proportional to 57,609.78, 86,414.27 and 16,056.78 is: 24,085.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,609.78 : 86,414.27 = 16,056.78 : x
  2. Step 2: Convert to fraction form
    57,609.78/86,414.27 = 16,056.78/x
  3. Step 3: Cross multiply
    57,609.78x = 86,414.27 × 16,056.78
  4. Step 4: Simplify right side
    57,609.78x = 1,387,534,841.97
  5. Step 5: Solve for x
    x = 1,387,534,841.97/57,609.78
  6. Step 6: Final answer
    x = 24,085.06

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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.