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Finding the Fourth Proportional to 73,248.12, 109,882.80 and 23,311.80

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Solution

The fourth proportional to 73,248.12, 109,882.80 and 23,311.80 is: 34,971.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,248.12 : 109,882.80 = 23,311.80 : x
  2. Step 2: Convert to fraction form
    73,248.12/109,882.80 = 23,311.80/x
  3. Step 3: Cross multiply
    73,248.12x = 109,882.80 × 23,311.80
  4. Step 4: Simplify right side
    73,248.12x = 2,561,565,857.04
  5. Step 5: Solve for x
    x = 2,561,565,857.04/73,248.12
  6. Step 6: Final answer
    x = 34,971.08

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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.