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Finding the Fourth Proportional to 27,624.42, 38,121.84 and 15,049.17

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Solution

The fourth proportional to 27,624.42, 38,121.84 and 15,049.17 is: 20,767.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,624.42 : 38,121.84 = 15,049.17 : x
  2. Step 2: Convert to fraction form
    27,624.42/38,121.84 = 15,049.17/x
  3. Step 3: Cross multiply
    27,624.42x = 38,121.84 × 15,049.17
  4. Step 4: Simplify right side
    27,624.42x = 573,702,050.87
  5. Step 5: Solve for x
    x = 573,702,050.87/27,624.42
  6. Step 6: Final answer
    x = 20,767.93

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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.