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Finding the Fourth Proportional to 83,254.29, 124,878.66 and 38,819.89

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Solution

The fourth proportional to 83,254.29, 124,878.66 and 38,819.89 is: 58,228.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,254.29 : 124,878.66 = 38,819.89 : x
  2. Step 2: Convert to fraction form
    83,254.29/124,878.66 = 38,819.89/x
  3. Step 3: Cross multiply
    83,254.29x = 124,878.66 × 38,819.89
  4. Step 4: Simplify right side
    83,254.29x = 4,847,775,844.55
  5. Step 5: Solve for x
    x = 4,847,775,844.55/83,254.29
  6. Step 6: Final answer
    x = 58,228.54

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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.