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Finding the Fourth Proportional to 83,206.50, 124,785.12 and 24,042.72

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Solution

The fourth proportional to 83,206.50, 124,785.12 and 24,042.72 is: 36,056.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,206.50 : 124,785.12 = 24,042.72 : x
  2. Step 2: Convert to fraction form
    83,206.50/124,785.12 = 24,042.72/x
  3. Step 3: Cross multiply
    83,206.50x = 124,785.12 × 24,042.72
  4. Step 4: Simplify right side
    83,206.50x = 3,000,173,700.33
  5. Step 5: Solve for x
    x = 3,000,173,700.33/83,206.50
  6. Step 6: Final answer
    x = 36,056.96

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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.