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Finding the Fourth Proportional to 67,814.16, 101,578.07 and 54,414.53

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Solution

The fourth proportional to 67,814.16, 101,578.07 and 54,414.53 is: 81,506.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,814.16 : 101,578.07 = 54,414.53 : x
  2. Step 2: Convert to fraction form
    67,814.16/101,578.07 = 54,414.53/x
  3. Step 3: Cross multiply
    67,814.16x = 101,578.07 × 54,414.53
  4. Step 4: Simplify right side
    67,814.16x = 5,527,323,327.34
  5. Step 5: Solve for x
    x = 5,527,323,327.34/67,814.16
  6. Step 6: Final answer
    x = 81,506.92

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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.