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Finding the Fourth Proportional to 91,414.92, 137,113.74 and 29,074.44

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Solution

The fourth proportional to 91,414.92, 137,113.74 and 29,074.44 is: 43,608.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,414.92 : 137,113.74 = 29,074.44 : x
  2. Step 2: Convert to fraction form
    91,414.92/137,113.74 = 29,074.44/x
  3. Step 3: Cross multiply
    91,414.92x = 137,113.74 × 29,074.44
  4. Step 4: Simplify right side
    91,414.92x = 3,986,505,206.81
  5. Step 5: Solve for x
    x = 3,986,505,206.81/91,414.92
  6. Step 6: Final answer
    x = 43,608.91

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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.