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Finding the Fourth Proportional to 71,045.52, 98,042.82 and 39,214.43

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Solution

The fourth proportional to 71,045.52, 98,042.82 and 39,214.43 is: 54,115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,045.52 : 98,042.82 = 39,214.43 : x
  2. Step 2: Convert to fraction form
    71,045.52/98,042.82 = 39,214.43/x
  3. Step 3: Cross multiply
    71,045.52x = 98,042.82 × 39,214.43
  4. Step 4: Simplify right side
    71,045.52x = 3,844,692,811.68
  5. Step 5: Solve for x
    x = 3,844,692,811.68/71,045.52
  6. Step 6: Final answer
    x = 54,115.91

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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.