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Finding the Fourth Proportional to 36,362.94, 54,494.67 and 27,471

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Solution

The fourth proportional to 36,362.94, 54,494.67 and 27,471 is: 41,168.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,362.94 : 54,494.67 = 27,471 : x
  2. Step 2: Convert to fraction form
    36,362.94/54,494.67 = 27,471/x
  3. Step 3: Cross multiply
    36,362.94x = 54,494.67 × 27,471
  4. Step 4: Simplify right side
    36,362.94x = 1,497,023,079.57
  5. Step 5: Solve for x
    x = 1,497,023,079.57/36,362.94
  6. Step 6: Final answer
    x = 41,168.92

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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.