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Finding the Fourth Proportional to 77,382.84, 115,872.66 and 42,250.44

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Solution

The fourth proportional to 77,382.84, 115,872.66 and 42,250.44 is: 63,265.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,382.84 : 115,872.66 = 42,250.44 : x
  2. Step 2: Convert to fraction form
    77,382.84/115,872.66 = 42,250.44/x
  3. Step 3: Cross multiply
    77,382.84x = 115,872.66 × 42,250.44
  4. Step 4: Simplify right side
    77,382.84x = 4,895,670,868.97
  5. Step 5: Solve for x
    x = 4,895,670,868.97/77,382.84
  6. Step 6: Final answer
    x = 63,265.59

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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.