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Finding the Fourth Proportional to 36,614.16, 50,524.02 and 27,060

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Solution

The fourth proportional to 36,614.16, 50,524.02 and 27,060 is: 37,340.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,614.16 : 50,524.02 = 27,060 : x
  2. Step 2: Convert to fraction form
    36,614.16/50,524.02 = 27,060/x
  3. Step 3: Cross multiply
    36,614.16x = 50,524.02 × 27,060
  4. Step 4: Simplify right side
    36,614.16x = 1,367,179,981.20
  5. Step 5: Solve for x
    x = 1,367,179,981.20/36,614.16
  6. Step 6: Final answer
    x = 37,340.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.