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Finding the Fourth Proportional to 78,819.30, 118,034.55 and 52,380.90

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Solution

The fourth proportional to 78,819.30, 118,034.55 and 52,380.90 is: 78,442.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,819.30 : 118,034.55 = 52,380.90 : x
  2. Step 2: Convert to fraction form
    78,819.30/118,034.55 = 52,380.90/x
  3. Step 3: Cross multiply
    78,819.30x = 118,034.55 × 52,380.90
  4. Step 4: Simplify right side
    78,819.30x = 6,182,755,960.10
  5. Step 5: Solve for x
    x = 6,182,755,960.10/78,819.30
  6. Step 6: Final answer
    x = 78,442.16

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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.