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Finding the Fourth Proportional to 71,537.40, 98,721.72 and 39,705.48

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Solution

The fourth proportional to 71,537.40, 98,721.72 and 39,705.48 is: 54,793.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,537.40 : 98,721.72 = 39,705.48 : x
  2. Step 2: Convert to fraction form
    71,537.40/98,721.72 = 39,705.48/x
  3. Step 3: Cross multiply
    71,537.40x = 98,721.72 × 39,705.48
  4. Step 4: Simplify right side
    71,537.40x = 3,919,793,279.03
  5. Step 5: Solve for x
    x = 3,919,793,279.03/71,537.40
  6. Step 6: Final answer
    x = 54,793.62

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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.