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Finding the Fourth Proportional to 71,319.60, 106,864.20 and 44,977.20

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Solution

The fourth proportional to 71,319.60, 106,864.20 and 44,977.20 is: 67,393.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,319.60 : 106,864.20 = 44,977.20 : x
  2. Step 2: Convert to fraction form
    71,319.60/106,864.20 = 44,977.20/x
  3. Step 3: Cross multiply
    71,319.60x = 106,864.20 × 44,977.20
  4. Step 4: Simplify right side
    71,319.60x = 4,806,452,496.24
  5. Step 5: Solve for x
    x = 4,806,452,496.24/71,319.60
  6. Step 6: Final answer
    x = 67,393.15

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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.