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Finding the Fourth Proportional to 71,156, 98,201.04 and 41,353.76

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Solution

The fourth proportional to 71,156, 98,201.04 and 41,353.76 is: 57,071.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,156 : 98,201.04 = 41,353.76 : x
  2. Step 2: Convert to fraction form
    71,156/98,201.04 = 41,353.76/x
  3. Step 3: Cross multiply
    71,156x = 98,201.04 × 41,353.76
  4. Step 4: Simplify right side
    71,156x = 4,060,982,239.91
  5. Step 5: Solve for x
    x = 4,060,982,239.91/71,156
  6. Step 6: Final answer
    x = 57,071.54

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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.