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Finding the Fourth Proportional to 69,112.20, 103,642.38 and 29,649

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Solution

The fourth proportional to 69,112.20, 103,642.38 and 29,649 is: 44,462.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,112.20 : 103,642.38 = 29,649 : x
  2. Step 2: Convert to fraction form
    69,112.20/103,642.38 = 29,649/x
  3. Step 3: Cross multiply
    69,112.20x = 103,642.38 × 29,649
  4. Step 4: Simplify right side
    69,112.20x = 3,072,892,924.62
  5. Step 5: Solve for x
    x = 3,072,892,924.62/69,112.20
  6. Step 6: Final answer
    x = 44,462.38

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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.