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Finding the Fourth Proportional to 36,023.18, 54,034.74 and 9,727.88

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Solution

The fourth proportional to 36,023.18, 54,034.74 and 9,727.88 is: 14,591.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,023.18 : 54,034.74 = 9,727.88 : x
  2. Step 2: Convert to fraction form
    36,023.18/54,034.74 = 9,727.88/x
  3. Step 3: Cross multiply
    36,023.18x = 54,034.74 × 9,727.88
  4. Step 4: Simplify right side
    36,023.18x = 525,643,466.55
  5. Step 5: Solve for x
    x = 525,643,466.55/36,023.18
  6. Step 6: Final answer
    x = 14,591.81

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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.