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Finding the Fourth Proportional to 71,696.47, 98,940.53 and 39,865.09

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Solution

The fourth proportional to 71,696.47, 98,940.53 and 39,865.09 is: 55,013.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,696.47 : 98,940.53 = 39,865.09 : x
  2. Step 2: Convert to fraction form
    71,696.47/98,940.53 = 39,865.09/x
  3. Step 3: Cross multiply
    71,696.47x = 98,940.53 × 39,865.09
  4. Step 4: Simplify right side
    71,696.47x = 3,944,273,133.10
  5. Step 5: Solve for x
    x = 3,944,273,133.10/71,696.47
  6. Step 6: Final answer
    x = 55,013.49

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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.