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Finding the Fourth Proportional to 77,164.52, 115,723.22 and 27,232.97

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Solution

The fourth proportional to 77,164.52, 115,723.22 and 27,232.97 is: 40,841.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,164.52 : 115,723.22 = 27,232.97 : x
  2. Step 2: Convert to fraction form
    77,164.52/115,723.22 = 27,232.97/x
  3. Step 3: Cross multiply
    77,164.52x = 115,723.22 × 27,232.97
  4. Step 4: Simplify right side
    77,164.52x = 3,151,486,263.78
  5. Step 5: Solve for x
    x = 3,151,486,263.78/77,164.52
  6. Step 6: Final answer
    x = 40,841.13

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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.