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Finding the Fourth Proportional to 29,921.69, 41,290.30 and 16,491.89

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Solution

The fourth proportional to 29,921.69, 41,290.30 and 16,491.89 is: 22,757.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,921.69 : 41,290.30 = 16,491.89 : x
  2. Step 2: Convert to fraction form
    29,921.69/41,290.30 = 16,491.89/x
  3. Step 3: Cross multiply
    29,921.69x = 41,290.30 × 16,491.89
  4. Step 4: Simplify right side
    29,921.69x = 680,955,061.38
  5. Step 5: Solve for x
    x = 680,955,061.38/29,921.69
  6. Step 6: Final answer
    x = 22,757.91

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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.