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Finding the Fourth Proportional to 71,161.60, 106,627.20 and 44,819.20

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Solution

The fourth proportional to 71,161.60, 106,627.20 and 44,819.20 is: 67,156.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,161.60 : 106,627.20 = 44,819.20 : x
  2. Step 2: Convert to fraction form
    71,161.60/106,627.20 = 44,819.20/x
  3. Step 3: Cross multiply
    71,161.60x = 106,627.20 × 44,819.20
  4. Step 4: Simplify right side
    71,161.60x = 4,778,945,802.24
  5. Step 5: Solve for x
    x = 4,778,945,802.24/71,161.60
  6. Step 6: Final answer
    x = 67,156.24

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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.