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Finding the Fourth Proportional to 71,407.52, 98,540.70 and 41,192.92

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Solution

The fourth proportional to 71,407.52, 98,540.70 and 41,192.92 is: 56,845.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,407.52 : 98,540.70 = 41,192.92 : x
  2. Step 2: Convert to fraction form
    71,407.52/98,540.70 = 41,192.92/x
  3. Step 3: Cross multiply
    71,407.52x = 98,540.70 × 41,192.92
  4. Step 4: Simplify right side
    71,407.52x = 4,059,179,171.84
  5. Step 5: Solve for x
    x = 4,059,179,171.84/71,407.52
  6. Step 6: Final answer
    x = 56,845.26

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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.