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Finding the Fourth Proportional to 77,706.27, 107,232.26 and 43,716.65

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Solution

The fourth proportional to 77,706.27, 107,232.26 and 43,716.65 is: 60,327.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,706.27 : 107,232.26 = 43,716.65 : x
  2. Step 2: Convert to fraction form
    77,706.27/107,232.26 = 43,716.65/x
  3. Step 3: Cross multiply
    77,706.27x = 107,232.26 × 43,716.65
  4. Step 4: Simplify right side
    77,706.27x = 4,687,834,424.38
  5. Step 5: Solve for x
    x = 4,687,834,424.38/77,706.27
  6. Step 6: Final answer
    x = 60,327.62

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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.