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Finding the Fourth Proportional to 83,813.46, 125,680.72 and 30,467.92

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Solution

The fourth proportional to 83,813.46, 125,680.72 and 30,467.92 is: 45,687.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,813.46 : 125,680.72 = 30,467.92 : x
  2. Step 2: Convert to fraction form
    83,813.46/125,680.72 = 30,467.92/x
  3. Step 3: Cross multiply
    83,813.46x = 125,680.72 × 30,467.92
  4. Step 4: Simplify right side
    83,813.46x = 3,829,230,122.50
  5. Step 5: Solve for x
    x = 3,829,230,122.50/83,813.46
  6. Step 6: Final answer
    x = 45,687.53

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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.