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Finding the Fourth Proportional to 38,110.40, 57,166.12 and 10,408.40

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Solution

The fourth proportional to 38,110.40, 57,166.12 and 10,408.40 is: 15,612.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,110.40 : 57,166.12 = 10,408.40 : x
  2. Step 2: Convert to fraction form
    38,110.40/57,166.12 = 10,408.40/x
  3. Step 3: Cross multiply
    38,110.40x = 57,166.12 × 10,408.40
  4. Step 4: Simplify right side
    38,110.40x = 595,007,843.41
  5. Step 5: Solve for x
    x = 595,007,843.41/38,110.40
  6. Step 6: Final answer
    x = 15,612.74

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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.