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Finding the Fourth Proportional to 106,354.42, 159,532.17 and 27,463.21

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Solution

The fourth proportional to 106,354.42, 159,532.17 and 27,463.21 is: 41,194.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,354.42 : 159,532.17 = 27,463.21 : x
  2. Step 2: Convert to fraction form
    106,354.42/159,532.17 = 27,463.21/x
  3. Step 3: Cross multiply
    106,354.42x = 159,532.17 × 27,463.21
  4. Step 4: Simplify right side
    106,354.42x = 4,381,265,486.47
  5. Step 5: Solve for x
    x = 4,381,265,486.47/106,354.42
  6. Step 6: Final answer
    x = 41,194.95

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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.