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Finding the Fourth Proportional to 78,431.38, 108,180.57 and 51,565.30

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Solution

The fourth proportional to 78,431.38, 108,180.57 and 51,565.30 is: 71,124.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,431.38 : 108,180.57 = 51,565.30 : x
  2. Step 2: Convert to fraction form
    78,431.38/108,180.57 = 51,565.30/x
  3. Step 3: Cross multiply
    78,431.38x = 108,180.57 × 51,565.30
  4. Step 4: Simplify right side
    78,431.38x = 5,578,363,546.22
  5. Step 5: Solve for x
    x = 5,578,363,546.22/78,431.38
  6. Step 6: Final answer
    x = 71,124.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.