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Finding the Fourth Proportional to 27,624.48, 38,121.60 and 15,049.20

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Solution

The fourth proportional to 27,624.48, 38,121.60 and 15,049.20 is: 20,767.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,624.48 : 38,121.60 = 15,049.20 : x
  2. Step 2: Convert to fraction form
    27,624.48/38,121.60 = 15,049.20/x
  3. Step 3: Cross multiply
    27,624.48x = 38,121.60 × 15,049.20
  4. Step 4: Simplify right side
    27,624.48x = 573,699,582.72
  5. Step 5: Solve for x
    x = 573,699,582.72/27,624.48
  6. Step 6: Final answer
    x = 20,767.80

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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.