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Finding the Fourth Proportional to 83,175.10, 124,828.17 and 38,779

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Solution

The fourth proportional to 83,175.10, 124,828.17 and 38,779 is: 58,199.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,175.10 : 124,828.17 = 38,779 : x
  2. Step 2: Convert to fraction form
    83,175.10/124,828.17 = 38,779/x
  3. Step 3: Cross multiply
    83,175.10x = 124,828.17 × 38,779
  4. Step 4: Simplify right side
    83,175.10x = 4,840,711,604.43
  5. Step 5: Solve for x
    x = 4,840,711,604.43/83,175.10
  6. Step 6: Final answer
    x = 58,199.05

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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.