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Finding the Fourth Proportional to 29,159.69, 43,728.71 and 22,931.87

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Solution

The fourth proportional to 29,159.69, 43,728.71 and 22,931.87 is: 34,389.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,159.69 : 43,728.71 = 22,931.87 : x
  2. Step 2: Convert to fraction form
    29,159.69/43,728.71 = 22,931.87/x
  3. Step 3: Cross multiply
    29,159.69x = 43,728.71 × 22,931.87
  4. Step 4: Simplify right side
    29,159.69x = 1,002,780,759.68
  5. Step 5: Solve for x
    x = 1,002,780,759.68/29,159.69
  6. Step 6: Final answer
    x = 34,389.29

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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.