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Finding the Fourth Proportional to 52,132.50, 71,942.45 and 28,258.56

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Solution

The fourth proportional to 52,132.50, 71,942.45 and 28,258.56 is: 38,996.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,132.50 : 71,942.45 = 28,258.56 : x
  2. Step 2: Convert to fraction form
    52,132.50/71,942.45 = 28,258.56/x
  3. Step 3: Cross multiply
    52,132.50x = 71,942.45 × 28,258.56
  4. Step 4: Simplify right side
    52,132.50x = 2,032,989,898.58
  5. Step 5: Solve for x
    x = 2,032,989,898.58/52,132.50
  6. Step 6: Final answer
    x = 38,996.59

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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.