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Finding the Fourth Proportional to 81,571.46, 112,616.88 and 51,382.66

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Solution

The fourth proportional to 81,571.46, 112,616.88 and 51,382.66 is: 70,938.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,571.46 : 112,616.88 = 51,382.66 : x
  2. Step 2: Convert to fraction form
    81,571.46/112,616.88 = 51,382.66/x
  3. Step 3: Cross multiply
    81,571.46x = 112,616.88 × 51,382.66
  4. Step 4: Simplify right side
    81,571.46x = 5,786,554,855.30
  5. Step 5: Solve for x
    x = 5,786,554,855.30/81,571.46
  6. Step 6: Final answer
    x = 70,938.47

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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.