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Finding the Fourth Proportional to 80,691.60, 120,907.80 and 52,957.20

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Solution

The fourth proportional to 80,691.60, 120,907.80 and 52,957.20 is: 79,350.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,691.60 : 120,907.80 = 52,957.20 : x
  2. Step 2: Convert to fraction form
    80,691.60/120,907.80 = 52,957.20/x
  3. Step 3: Cross multiply
    80,691.60x = 120,907.80 × 52,957.20
  4. Step 4: Simplify right side
    80,691.60x = 6,402,938,546.16
  5. Step 5: Solve for x
    x = 6,402,938,546.16/80,691.60
  6. Step 6: Final answer
    x = 79,350.74

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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.