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Finding the Fourth Proportional to 96,200.71, 132,757.15 and 53,759.24

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Solution

The fourth proportional to 96,200.71, 132,757.15 and 53,759.24 is: 74,187.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,200.71 : 132,757.15 = 53,759.24 : x
  2. Step 2: Convert to fraction form
    96,200.71/132,757.15 = 53,759.24/x
  3. Step 3: Cross multiply
    96,200.71x = 132,757.15 × 53,759.24
  4. Step 4: Simplify right side
    96,200.71x = 7,136,922,690.38
  5. Step 5: Solve for x
    x = 7,136,922,690.38/96,200.71
  6. Step 6: Final answer
    x = 74,187.84

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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.