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Finding the Fourth Proportional to 106,617.73, 159,981.95 and 43,484.17

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Solution

The fourth proportional to 106,617.73, 159,981.95 and 43,484.17 is: 65,248.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,617.73 : 159,981.95 = 43,484.17 : x
  2. Step 2: Convert to fraction form
    106,617.73/159,981.95 = 43,484.17/x
  3. Step 3: Cross multiply
    106,617.73x = 159,981.95 × 43,484.17
  4. Step 4: Simplify right side
    106,617.73x = 6,956,682,310.73
  5. Step 5: Solve for x
    x = 6,956,682,310.73/106,617.73
  6. Step 6: Final answer
    x = 65,248.83

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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.