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Finding the Fourth Proportional to 71,532.24, 98,713.26 and 39,702.48

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Solution

The fourth proportional to 71,532.24, 98,713.26 and 39,702.48 is: 54,788.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,532.24 : 98,713.26 = 39,702.48 : x
  2. Step 2: Convert to fraction form
    71,532.24/98,713.26 = 39,702.48/x
  3. Step 3: Cross multiply
    71,532.24x = 98,713.26 × 39,702.48
  4. Step 4: Simplify right side
    71,532.24x = 3,919,161,230.88
  5. Step 5: Solve for x
    x = 3,919,161,230.88/71,532.24
  6. Step 6: Final answer
    x = 54,788.74

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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.