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Finding the Fourth Proportional to 96,172.26, 132,715.26 and 53,731.10

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Solution

The fourth proportional to 96,172.26, 132,715.26 and 53,731.10 is: 74,147.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,172.26 : 132,715.26 = 53,731.10 : x
  2. Step 2: Convert to fraction form
    96,172.26/132,715.26 = 53,731.10/x
  3. Step 3: Cross multiply
    96,172.26x = 132,715.26 × 53,731.10
  4. Step 4: Simplify right side
    96,172.26x = 7,130,936,906.59
  5. Step 5: Solve for x
    x = 7,130,936,906.59/96,172.26
  6. Step 6: Final answer
    x = 74,147.54

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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.