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Finding the Fourth Proportional to 27,832.86, 41,705.51 and 21,523.14

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Solution

The fourth proportional to 27,832.86, 41,705.51 and 21,523.14 is: 32,250.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,832.86 : 41,705.51 = 21,523.14 : x
  2. Step 2: Convert to fraction form
    27,832.86/41,705.51 = 21,523.14/x
  3. Step 3: Cross multiply
    27,832.86x = 41,705.51 × 21,523.14
  4. Step 4: Simplify right side
    27,832.86x = 897,633,422.89
  5. Step 5: Solve for x
    x = 897,633,422.89/27,832.86
  6. Step 6: Final answer
    x = 32,250.85

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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.