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Finding the Fourth Proportional to 71,291.60, 106,822.20 and 44,949.20

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Solution

The fourth proportional to 71,291.60, 106,822.20 and 44,949.20 is: 67,351.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,291.60 : 106,822.20 = 44,949.20 : x
  2. Step 2: Convert to fraction form
    71,291.60/106,822.20 = 44,949.20/x
  3. Step 3: Cross multiply
    71,291.60x = 106,822.20 × 44,949.20
  4. Step 4: Simplify right side
    71,291.60x = 4,801,572,432.24
  5. Step 5: Solve for x
    x = 4,801,572,432.24/71,291.60
  6. Step 6: Final answer
    x = 67,351.17

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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.