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Finding the Fourth Proportional to 78,565.97, 117,845.87 and 19,400.13

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Solution

The fourth proportional to 78,565.97, 117,845.87 and 19,400.13 is: 29,099.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,565.97 : 117,845.87 = 19,400.13 : x
  2. Step 2: Convert to fraction form
    78,565.97/117,845.87 = 19,400.13/x
  3. Step 3: Cross multiply
    78,565.97x = 117,845.87 × 19,400.13
  4. Step 4: Simplify right side
    78,565.97x = 2,286,225,197.96
  5. Step 5: Solve for x
    x = 2,286,225,197.96/78,565.97
  6. Step 6: Final answer
    x = 29,099.43

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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.