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Finding the Fourth Proportional to 83,049.58, 124,500.30 and 30,446.80

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Solution

The fourth proportional to 83,049.58, 124,500.30 and 30,446.80 is: 45,643.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,049.58 : 124,500.30 = 30,446.80 : x
  2. Step 2: Convert to fraction form
    83,049.58/124,500.30 = 30,446.80/x
  3. Step 3: Cross multiply
    83,049.58x = 124,500.30 × 30,446.80
  4. Step 4: Simplify right side
    83,049.58x = 3,790,635,734.04
  5. Step 5: Solve for x
    x = 3,790,635,734.04/83,049.58
  6. Step 6: Final answer
    x = 45,643.05

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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.