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Finding the Fourth Proportional to 103,414.46, 155,121.69 and 29,542.46

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Solution

The fourth proportional to 103,414.46, 155,121.69 and 29,542.46 is: 44,313.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,414.46 : 155,121.69 = 29,542.46 : x
  2. Step 2: Convert to fraction form
    103,414.46/155,121.69 = 29,542.46/x
  3. Step 3: Cross multiply
    103,414.46x = 155,121.69 × 29,542.46
  4. Step 4: Simplify right side
    103,414.46x = 4,582,676,321.96
  5. Step 5: Solve for x
    x = 4,582,676,321.96/103,414.46
  6. Step 6: Final answer
    x = 44,313.69

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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.