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Finding the Fourth Proportional to 51,338.68, 70,734.70 and 34,542.52

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Solution

The fourth proportional to 51,338.68, 70,734.70 and 34,542.52 is: 47,592.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,338.68 : 70,734.70 = 34,542.52 : x
  2. Step 2: Convert to fraction form
    51,338.68/70,734.70 = 34,542.52/x
  3. Step 3: Cross multiply
    51,338.68x = 70,734.70 × 34,542.52
  4. Step 4: Simplify right side
    51,338.68x = 2,443,354,789.44
  5. Step 5: Solve for x
    x = 2,443,354,789.44/51,338.68
  6. Step 6: Final answer
    x = 47,592.86

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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.