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Finding the Fourth Proportional to 36,077.25, 54,115.74 and 9,781.92

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Solution

The fourth proportional to 36,077.25, 54,115.74 and 9,781.92 is: 14,672.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,077.25 : 54,115.74 = 9,781.92 : x
  2. Step 2: Convert to fraction form
    36,077.25/54,115.74 = 9,781.92/x
  3. Step 3: Cross multiply
    36,077.25x = 54,115.74 × 9,781.92
  4. Step 4: Simplify right side
    36,077.25x = 529,355,839.42
  5. Step 5: Solve for x
    x = 529,355,839.42/36,077.25
  6. Step 6: Final answer
    x = 14,672.84

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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.