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Finding the Fourth Proportional to 71,893.31, 99,213.17 and 41,696.53

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Solution

The fourth proportional to 71,893.31, 99,213.17 and 41,696.53 is: 57,541.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,893.31 : 99,213.17 = 41,696.53 : x
  2. Step 2: Convert to fraction form
    71,893.31/99,213.17 = 41,696.53/x
  3. Step 3: Cross multiply
    71,893.31x = 99,213.17 × 41,696.53
  4. Step 4: Simplify right side
    71,893.31x = 4,136,844,462.78
  5. Step 5: Solve for x
    x = 4,136,844,462.78/71,893.31
  6. Step 6: Final answer
    x = 57,541.44

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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.