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Finding the Fourth Proportional to 52,101.60, 71,930.88 and 34,227.78

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Solution

The fourth proportional to 52,101.60, 71,930.88 and 34,227.78 is: 47,254.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,101.60 : 71,930.88 = 34,227.78 : x
  2. Step 2: Convert to fraction form
    52,101.60/71,930.88 = 34,227.78/x
  3. Step 3: Cross multiply
    52,101.60x = 71,930.88 × 34,227.78
  4. Step 4: Simplify right side
    52,101.60x = 2,462,034,335.85
  5. Step 5: Solve for x
    x = 2,462,034,335.85/52,101.60
  6. Step 6: Final answer
    x = 47,254.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.