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Finding the Fourth Proportional to 57,416.50, 86,125.11 and 15,863.86

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Solution

The fourth proportional to 57,416.50, 86,125.11 and 15,863.86 is: 23,795.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,416.50 : 86,125.11 = 15,863.86 : x
  2. Step 2: Convert to fraction form
    57,416.50/86,125.11 = 15,863.86/x
  3. Step 3: Cross multiply
    57,416.50x = 86,125.11 × 15,863.86
  4. Step 4: Simplify right side
    57,416.50x = 1,366,276,687.52
  5. Step 5: Solve for x
    x = 1,366,276,687.52/57,416.50
  6. Step 6: Final answer
    x = 23,795.89

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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.