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Finding the Fourth Proportional to 106,424.70, 159,658.65 and 36,311.10

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Solution

The fourth proportional to 106,424.70, 159,658.65 and 36,311.10 is: 54,474.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,424.70 : 159,658.65 = 36,311.10 : x
  2. Step 2: Convert to fraction form
    106,424.70/159,658.65 = 36,311.10/x
  3. Step 3: Cross multiply
    106,424.70x = 159,658.65 × 36,311.10
  4. Step 4: Simplify right side
    106,424.70x = 5,797,381,206.02
  5. Step 5: Solve for x
    x = 5,797,381,206.02/106,424.70
  6. Step 6: Final answer
    x = 54,474.02

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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.