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Finding the Fourth Proportional to 77,234.94, 115,864.27 and 32,849.78

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Solution

The fourth proportional to 77,234.94, 115,864.27 and 32,849.78 is: 49,279.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,234.94 : 115,864.27 = 32,849.78 : x
  2. Step 2: Convert to fraction form
    77,234.94/115,864.27 = 32,849.78/x
  3. Step 3: Cross multiply
    77,234.94x = 115,864.27 × 32,849.78
  4. Step 4: Simplify right side
    77,234.94x = 3,806,115,117.91
  5. Step 5: Solve for x
    x = 3,806,115,117.91/77,234.94
  6. Step 6: Final answer
    x = 49,279.71

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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.