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Finding the Fourth Proportional to 73,882.13, 110,823.19 and 18,478.13

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Solution

The fourth proportional to 73,882.13, 110,823.19 and 18,478.13 is: 27,717.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,882.13 : 110,823.19 = 18,478.13 : x
  2. Step 2: Convert to fraction form
    73,882.13/110,823.19 = 18,478.13/x
  3. Step 3: Cross multiply
    73,882.13x = 110,823.19 × 18,478.13
  4. Step 4: Simplify right side
    73,882.13x = 2,047,805,311.83
  5. Step 5: Solve for x
    x = 2,047,805,311.83/73,882.13
  6. Step 6: Final answer
    x = 27,717.19

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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.