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Finding the Fourth Proportional to 77,274.80, 115,882.43 and 27,345.59

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Solution

The fourth proportional to 77,274.80, 115,882.43 and 27,345.59 is: 41,007.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,274.80 : 115,882.43 = 27,345.59 : x
  2. Step 2: Convert to fraction form
    77,274.80/115,882.43 = 27,345.59/x
  3. Step 3: Cross multiply
    77,274.80x = 115,882.43 × 27,345.59
  4. Step 4: Simplify right side
    77,274.80x = 3,168,873,418.98
  5. Step 5: Solve for x
    x = 3,168,873,418.98/77,274.80
  6. Step 6: Final answer
    x = 41,007.85

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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.