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Finding the Fourth Proportional to 38,278.73, 52,806.21 and 24,854.19

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Solution

The fourth proportional to 38,278.73, 52,806.21 and 24,854.19 is: 34,286.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,278.73 : 52,806.21 = 24,854.19 : x
  2. Step 2: Convert to fraction form
    38,278.73/52,806.21 = 24,854.19/x
  3. Step 3: Cross multiply
    38,278.73x = 52,806.21 × 24,854.19
  4. Step 4: Simplify right side
    38,278.73x = 1,312,455,576.52
  5. Step 5: Solve for x
    x = 1,312,455,576.52/38,278.73
  6. Step 6: Final answer
    x = 34,286.82

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