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Finding the Fourth Proportional to 71,409.38, 98,541.12 and 41,192.88

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Solution

The fourth proportional to 71,409.38, 98,541.12 and 41,192.88 is: 56,843.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,409.38 : 98,541.12 = 41,192.88 : x
  2. Step 2: Convert to fraction form
    71,409.38/98,541.12 = 41,192.88/x
  3. Step 3: Cross multiply
    71,409.38x = 98,541.12 × 41,192.88
  4. Step 4: Simplify right side
    71,409.38x = 4,059,192,531.23
  5. Step 5: Solve for x
    x = 4,059,192,531.23/71,409.38
  6. Step 6: Final answer
    x = 56,843.97

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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.