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Finding the Fourth Proportional to 67,882.64, 101,720.01 and 34,552.76

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Solution

The fourth proportional to 67,882.64, 101,720.01 and 34,552.76 is: 51,776.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,882.64 : 101,720.01 = 34,552.76 : x
  2. Step 2: Convert to fraction form
    67,882.64/101,720.01 = 34,552.76/x
  3. Step 3: Cross multiply
    67,882.64x = 101,720.01 × 34,552.76
  4. Step 4: Simplify right side
    67,882.64x = 3,514,707,092.73
  5. Step 5: Solve for x
    x = 3,514,707,092.73/67,882.64
  6. Step 6: Final answer
    x = 51,776.23

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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.