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Finding the Fourth Proportional to 38,294.88, 57,442.26 and 12,001.64

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Solution

The fourth proportional to 38,294.88, 57,442.26 and 12,001.64 is: 18,002.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,294.88 : 57,442.26 = 12,001.64 : x
  2. Step 2: Convert to fraction form
    38,294.88/57,442.26 = 12,001.64/x
  3. Step 3: Cross multiply
    38,294.88x = 57,442.26 × 12,001.64
  4. Step 4: Simplify right side
    38,294.88x = 689,401,325.31
  5. Step 5: Solve for x
    x = 689,401,325.31/38,294.88
  6. Step 6: Final answer
    x = 18,002.44

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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.