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Finding the Fourth Proportional to 71,709.54, 98,942.85 and 41,494.11

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Solution

The fourth proportional to 71,709.54, 98,942.85 and 41,494.11 is: 57,252.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,709.54 : 98,942.85 = 41,494.11 : x
  2. Step 2: Convert to fraction form
    71,709.54/98,942.85 = 41,494.11/x
  3. Step 3: Cross multiply
    71,709.54x = 98,942.85 × 41,494.11
  4. Step 4: Simplify right side
    71,709.54x = 4,105,545,501.61
  5. Step 5: Solve for x
    x = 4,105,545,501.61/71,709.54
  6. Step 6: Final answer
    x = 57,252.43

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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.