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Finding the Fourth Proportional to 106,729.65, 160,118.91 and 36,608.76

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Solution

The fourth proportional to 106,729.65, 160,118.91 and 36,608.76 is: 54,921.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,729.65 : 160,118.91 = 36,608.76 : x
  2. Step 2: Convert to fraction form
    106,729.65/160,118.91 = 36,608.76/x
  3. Step 3: Cross multiply
    106,729.65x = 160,118.91 × 36,608.76
  4. Step 4: Simplify right side
    106,729.65x = 5,861,754,747.65
  5. Step 5: Solve for x
    x = 5,861,754,747.65/106,729.65
  6. Step 6: Final answer
    x = 54,921.52

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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.