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Finding the Fourth Proportional to 80,301.64, 120,468.62 and 27,713.16

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Solution

The fourth proportional to 80,301.64, 120,468.62 and 27,713.16 is: 41,575.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,301.64 : 120,468.62 = 27,713.16 : x
  2. Step 2: Convert to fraction form
    80,301.64/120,468.62 = 27,713.16/x
  3. Step 3: Cross multiply
    80,301.64x = 120,468.62 × 27,713.16
  4. Step 4: Simplify right side
    80,301.64x = 3,338,566,141.04
  5. Step 5: Solve for x
    x = 3,338,566,141.04/80,301.64
  6. Step 6: Final answer
    x = 41,575.32

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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.