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Finding the Fourth Proportional to 38,278.32, 57,408.84 and 13,654.32

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Solution

The fourth proportional to 38,278.32, 57,408.84 and 13,654.32 is: 20,478.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,278.32 : 57,408.84 = 13,654.32 : x
  2. Step 2: Convert to fraction form
    38,278.32/57,408.84 = 13,654.32/x
  3. Step 3: Cross multiply
    38,278.32x = 57,408.84 × 13,654.32
  4. Step 4: Simplify right side
    38,278.32x = 783,878,672.19
  5. Step 5: Solve for x
    x = 783,878,672.19/38,278.32
  6. Step 6: Final answer
    x = 20,478.40

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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.