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Finding the Fourth Proportional to 36,291.28, 54,458 and 14,119.96

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Solution

The fourth proportional to 36,291.28, 54,458 and 14,119.96 is: 21,188.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,291.28 : 54,458 = 14,119.96 : x
  2. Step 2: Convert to fraction form
    36,291.28/54,458 = 14,119.96/x
  3. Step 3: Cross multiply
    36,291.28x = 54,458 × 14,119.96
  4. Step 4: Simplify right side
    36,291.28x = 768,944,781.68
  5. Step 5: Solve for x
    x = 768,944,781.68/36,291.28
  6. Step 6: Final answer
    x = 21,188.14

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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.