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Finding the Fourth Proportional to 38,366.81, 57,546.57 and 13,402.25

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Solution

The fourth proportional to 38,366.81, 57,546.57 and 13,402.25 is: 20,102.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,366.81 : 57,546.57 = 13,402.25 : x
  2. Step 2: Convert to fraction form
    38,366.81/57,546.57 = 13,402.25/x
  3. Step 3: Cross multiply
    38,366.81x = 57,546.57 × 13,402.25
  4. Step 4: Simplify right side
    38,366.81x = 771,253,517.78
  5. Step 5: Solve for x
    x = 771,253,517.78/38,366.81
  6. Step 6: Final answer
    x = 20,102.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.