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Finding the Fourth Proportional to 27,199.38, 37,535.85 and 17,643.20

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Solution

The fourth proportional to 27,199.38, 37,535.85 and 17,643.20 is: 24,348.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,199.38 : 37,535.85 = 17,643.20 : x
  2. Step 2: Convert to fraction form
    27,199.38/37,535.85 = 17,643.20/x
  3. Step 3: Cross multiply
    27,199.38x = 37,535.85 × 17,643.20
  4. Step 4: Simplify right side
    27,199.38x = 662,252,321.04
  5. Step 5: Solve for x
    x = 662,252,321.04/27,199.38
  6. Step 6: Final answer
    x = 24,348.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.