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Finding the Fourth Proportional to 37,119.72, 51,230.76 and 29,221.38

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Solution

The fourth proportional to 37,119.72, 51,230.76 and 29,221.38 is: 40,329.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,119.72 : 51,230.76 = 29,221.38 : x
  2. Step 2: Convert to fraction form
    37,119.72/51,230.76 = 29,221.38/x
  3. Step 3: Cross multiply
    37,119.72x = 51,230.76 × 29,221.38
  4. Step 4: Simplify right side
    37,119.72x = 1,497,033,505.65
  5. Step 5: Solve for x
    x = 1,497,033,505.65/37,119.72
  6. Step 6: Final answer
    x = 40,329.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.