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Finding the Fourth Proportional to 57,841.72, 86,754.90 and 16,291.96

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Solution

The fourth proportional to 57,841.72, 86,754.90 and 16,291.96 is: 24,435.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,841.72 : 86,754.90 = 16,291.96 : x
  2. Step 2: Convert to fraction form
    57,841.72/86,754.90 = 16,291.96/x
  3. Step 3: Cross multiply
    57,841.72x = 86,754.90 × 16,291.96
  4. Step 4: Simplify right side
    57,841.72x = 1,413,407,360.60
  5. Step 5: Solve for x
    x = 1,413,407,360.60/57,841.72
  6. Step 6: Final answer
    x = 24,435.78

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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.