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Finding the Fourth Proportional to 38,105.52, 52,578.14 and 23,950.18

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Solution

The fourth proportional to 38,105.52, 52,578.14 and 23,950.18 is: 33,046.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,105.52 : 52,578.14 = 23,950.18 : x
  2. Step 2: Convert to fraction form
    38,105.52/52,578.14 = 23,950.18/x
  3. Step 3: Cross multiply
    38,105.52x = 52,578.14 × 23,950.18
  4. Step 4: Simplify right side
    38,105.52x = 1,259,255,917.07
  5. Step 5: Solve for x
    x = 1,259,255,917.07/38,105.52
  6. Step 6: Final answer
    x = 33,046.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.