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Finding the Fourth Proportional to 36,447.76, 54,660.12 and 11,818

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Solution

The fourth proportional to 36,447.76, 54,660.12 and 11,818 is: 17,723.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,447.76 : 54,660.12 = 11,818 : x
  2. Step 2: Convert to fraction form
    36,447.76/54,660.12 = 11,818/x
  3. Step 3: Cross multiply
    36,447.76x = 54,660.12 × 11,818
  4. Step 4: Simplify right side
    36,447.76x = 645,973,298.16
  5. Step 5: Solve for x
    x = 645,973,298.16/36,447.76
  6. Step 6: Final answer
    x = 17,723.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.