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Finding the Fourth Proportional to 27,859.56, 41,826.78 and 27,565.80

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Solution

The fourth proportional to 27,859.56, 41,826.78 and 27,565.80 is: 41,385.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,859.56 : 41,826.78 = 27,565.80 : x
  2. Step 2: Convert to fraction form
    27,859.56/41,826.78 = 27,565.80/x
  3. Step 3: Cross multiply
    27,859.56x = 41,826.78 × 27,565.80
  4. Step 4: Simplify right side
    27,859.56x = 1,152,988,652.12
  5. Step 5: Solve for x
    x = 1,152,988,652.12/27,859.56
  6. Step 6: Final answer
    x = 41,385.75

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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.