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Finding the Fourth Proportional to 27,565.30, 41,335.80 and 10,919.80

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Solution

The fourth proportional to 27,565.30, 41,335.80 and 10,919.80 is: 16,374.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,565.30 : 41,335.80 = 10,919.80 : x
  2. Step 2: Convert to fraction form
    27,565.30/41,335.80 = 10,919.80/x
  3. Step 3: Cross multiply
    27,565.30x = 41,335.80 × 10,919.80
  4. Step 4: Simplify right side
    27,565.30x = 451,378,668.84
  5. Step 5: Solve for x
    x = 451,378,668.84/27,565.30
  6. Step 6: Final answer
    x = 16,374.89

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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.