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Finding the Fourth Proportional to 34,781.92, 52,178.90 and 11,400.44

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Solution

The fourth proportional to 34,781.92, 52,178.90 and 11,400.44 is: 17,102.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,781.92 : 52,178.90 = 11,400.44 : x
  2. Step 2: Convert to fraction form
    34,781.92/52,178.90 = 11,400.44/x
  3. Step 3: Cross multiply
    34,781.92x = 52,178.90 × 11,400.44
  4. Step 4: Simplify right side
    34,781.92x = 594,862,418.72
  5. Step 5: Solve for x
    x = 594,862,418.72/34,781.92
  6. Step 6: Final answer
    x = 17,102.63

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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.