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Finding the Fourth Proportional to 69,124.20, 103,660.38 and 29,661

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Solution

The fourth proportional to 69,124.20, 103,660.38 and 29,661 is: 44,480.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,124.20 : 103,660.38 = 29,661 : x
  2. Step 2: Convert to fraction form
    69,124.20/103,660.38 = 29,661/x
  3. Step 3: Cross multiply
    69,124.20x = 103,660.38 × 29,661
  4. Step 4: Simplify right side
    69,124.20x = 3,074,670,531.18
  5. Step 5: Solve for x
    x = 3,074,670,531.18/69,124.20
  6. Step 6: Final answer
    x = 44,480.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.