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Finding the Fourth Proportional to 39,228, 58,854.96 and 15,841.68

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Solution

The fourth proportional to 39,228, 58,854.96 and 15,841.68 is: 23,767.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,228 : 58,854.96 = 15,841.68 : x
  2. Step 2: Convert to fraction form
    39,228/58,854.96 = 15,841.68/x
  3. Step 3: Cross multiply
    39,228x = 58,854.96 × 15,841.68
  4. Step 4: Simplify right side
    39,228x = 932,361,442.73
  5. Step 5: Solve for x
    x = 932,361,442.73/39,228
  6. Step 6: Final answer
    x = 23,767.75

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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.