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Finding the Fourth Proportional to 39,199.70, 58,843.84 and 15,842.54

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Solution

The fourth proportional to 39,199.70, 58,843.84 and 15,842.54 is: 23,781.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,199.70 : 58,843.84 = 15,842.54 : x
  2. Step 2: Convert to fraction form
    39,199.70/58,843.84 = 15,842.54/x
  3. Step 3: Cross multiply
    39,199.70x = 58,843.84 × 15,842.54
  4. Step 4: Simplify right side
    39,199.70x = 932,235,888.95
  5. Step 5: Solve for x
    x = 932,235,888.95/39,199.70
  6. Step 6: Final answer
    x = 23,781.71

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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.