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Finding the Fourth Proportional to 67,760.52, 101,647.68 and 23,387.16

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Solution

The fourth proportional to 67,760.52, 101,647.68 and 23,387.16 is: 35,083.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,760.52 : 101,647.68 = 23,387.16 : x
  2. Step 2: Convert to fraction form
    67,760.52/101,647.68 = 23,387.16/x
  3. Step 3: Cross multiply
    67,760.52x = 101,647.68 × 23,387.16
  4. Step 4: Simplify right side
    67,760.52x = 2,377,250,555.79
  5. Step 5: Solve for x
    x = 2,377,250,555.79/67,760.52
  6. Step 6: Final answer
    x = 35,083.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.