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Finding the Fourth Proportional to 73,144.89, 109,717.13 and 27,561.06

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Solution

The fourth proportional to 73,144.89, 109,717.13 and 27,561.06 is: 41,341.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,144.89 : 109,717.13 = 27,561.06 : x
  2. Step 2: Convert to fraction form
    73,144.89/109,717.13 = 27,561.06/x
  3. Step 3: Cross multiply
    73,144.89x = 109,717.13 × 27,561.06
  4. Step 4: Simplify right side
    73,144.89x = 3,023,920,471.86
  5. Step 5: Solve for x
    x = 3,023,920,471.86/73,144.89
  6. Step 6: Final answer
    x = 41,341.51

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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.