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Finding the Fourth Proportional to 71,178.38, 98,217.65 and 39,342.95

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Solution

The fourth proportional to 71,178.38, 98,217.65 and 39,342.95 is: 54,288.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,178.38 : 98,217.65 = 39,342.95 : x
  2. Step 2: Convert to fraction form
    71,178.38/98,217.65 = 39,342.95/x
  3. Step 3: Cross multiply
    71,178.38x = 98,217.65 × 39,342.95
  4. Step 4: Simplify right side
    71,178.38x = 3,864,171,405.26
  5. Step 5: Solve for x
    x = 3,864,171,405.26/71,178.38
  6. Step 6: Final answer
    x = 54,288.56

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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.