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Finding the Fourth Proportional to 106,049.97, 159,066.68 and 61,648.40

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Solution

The fourth proportional to 106,049.97, 159,066.68 and 61,648.40 is: 92,467.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,049.97 : 159,066.68 = 61,648.40 : x
  2. Step 2: Convert to fraction form
    106,049.97/159,066.68 = 61,648.40/x
  3. Step 3: Cross multiply
    106,049.97x = 159,066.68 × 61,648.40
  4. Step 4: Simplify right side
    106,049.97x = 9,806,205,211.74
  5. Step 5: Solve for x
    x = 9,806,205,211.74/106,049.97
  6. Step 6: Final answer
    x = 92,467.78

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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.