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Finding the Fourth Proportional to 29,077.38, 40,126.78 and 15,829.38

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Solution

The fourth proportional to 29,077.38, 40,126.78 and 15,829.38 is: 21,844.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,077.38 : 40,126.78 = 15,829.38 : x
  2. Step 2: Convert to fraction form
    29,077.38/40,126.78 = 15,829.38/x
  3. Step 3: Cross multiply
    29,077.38x = 40,126.78 × 15,829.38
  4. Step 4: Simplify right side
    29,077.38x = 635,182,048.80
  5. Step 5: Solve for x
    x = 635,182,048.80/29,077.38
  6. Step 6: Final answer
    x = 21,844.54

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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.