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Finding the Fourth Proportional to 106,149.51, 159,251.00 and 39,591.81

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Solution

The fourth proportional to 106,149.51, 159,251.00 and 39,591.81 is: 59,397.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,149.51 : 159,251.00 = 39,591.81 : x
  2. Step 2: Convert to fraction form
    106,149.51/159,251.00 = 39,591.81/x
  3. Step 3: Cross multiply
    106,149.51x = 159,251.00 × 39,591.81
  4. Step 4: Simplify right side
    106,149.51x = 6,305,035,136.35
  5. Step 5: Solve for x
    x = 6,305,035,136.35/106,149.51
  6. Step 6: Final answer
    x = 59,397.68

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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.