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Finding the Fourth Proportional to 67,458.52, 101,242.86 and 47,756.20

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Solution

The fourth proportional to 67,458.52, 101,242.86 and 47,756.20 is: 71,673.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,458.52 : 101,242.86 = 47,756.20 : x
  2. Step 2: Convert to fraction form
    67,458.52/101,242.86 = 47,756.20/x
  3. Step 3: Cross multiply
    67,458.52x = 101,242.86 × 47,756.20
  4. Step 4: Simplify right side
    67,458.52x = 4,834,974,270.73
  5. Step 5: Solve for x
    x = 4,834,974,270.73/67,458.52
  6. Step 6: Final answer
    x = 71,673.29

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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.