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Finding the Fourth Proportional to 37,997.61, 57,002.54 and 11,702.34

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Solution

The fourth proportional to 37,997.61, 57,002.54 and 11,702.34 is: 17,555.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,997.61 : 57,002.54 = 11,702.34 : x
  2. Step 2: Convert to fraction form
    37,997.61/57,002.54 = 11,702.34/x
  3. Step 3: Cross multiply
    37,997.61x = 57,002.54 × 11,702.34
  4. Step 4: Simplify right side
    37,997.61x = 667,063,045.43
  5. Step 5: Solve for x
    x = 667,063,045.43/37,997.61
  6. Step 6: Final answer
    x = 17,555.40

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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.