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Finding the Fourth Proportional to 36,119.32, 54,142.04 and 12,419.76

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Solution

The fourth proportional to 36,119.32, 54,142.04 and 12,419.76 is: 18,616.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,119.32 : 54,142.04 = 12,419.76 : x
  2. Step 2: Convert to fraction form
    36,119.32/54,142.04 = 12,419.76/x
  3. Step 3: Cross multiply
    36,119.32x = 54,142.04 × 12,419.76
  4. Step 4: Simplify right side
    36,119.32x = 672,431,142.71
  5. Step 5: Solve for x
    x = 672,431,142.71/36,119.32
  6. Step 6: Final answer
    x = 18,616.94

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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.