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Finding the Fourth Proportional to 71,085.78, 98,098.38 and 39,256.83

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Solution

The fourth proportional to 71,085.78, 98,098.38 and 39,256.83 is: 54,174.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,085.78 : 98,098.38 = 39,256.83 : x
  2. Step 2: Convert to fraction form
    71,085.78/98,098.38 = 39,256.83/x
  3. Step 3: Cross multiply
    71,085.78x = 98,098.38 × 39,256.83
  4. Step 4: Simplify right side
    71,085.78x = 3,851,031,426.94
  5. Step 5: Solve for x
    x = 3,851,031,426.94/71,085.78
  6. Step 6: Final answer
    x = 54,174.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.