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Finding the Fourth Proportional to 96,035.68, 132,538.05 and 53,022.85

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Solution

The fourth proportional to 96,035.68, 132,538.05 and 53,022.85 is: 73,176.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,035.68 : 132,538.05 = 53,022.85 : x
  2. Step 2: Convert to fraction form
    96,035.68/132,538.05 = 53,022.85/x
  3. Step 3: Cross multiply
    96,035.68x = 132,538.05 × 53,022.85
  4. Step 4: Simplify right side
    96,035.68x = 7,027,545,144.44
  5. Step 5: Solve for x
    x = 7,027,545,144.44/96,035.68
  6. Step 6: Final answer
    x = 73,176.40

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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.