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Finding the Fourth Proportional to 71,184.80, 106,793.40 and 41,587.40

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Solution

The fourth proportional to 71,184.80, 106,793.40 and 41,587.40 is: 62,390.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,184.80 : 106,793.40 = 41,587.40 : x
  2. Step 2: Convert to fraction form
    71,184.80/106,793.40 = 41,587.40/x
  3. Step 3: Cross multiply
    71,184.80x = 106,793.40 × 41,587.40
  4. Step 4: Simplify right side
    71,184.80x = 4,441,259,843.16
  5. Step 5: Solve for x
    x = 4,441,259,843.16/71,184.80
  6. Step 6: Final answer
    x = 62,390.56

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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.