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Finding the Fourth Proportional to 75,922.65, 113,706.72 and 60,020.82

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Solution

The fourth proportional to 75,922.65, 113,706.72 and 60,020.82 is: 89,891.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,922.65 : 113,706.72 = 60,020.82 : x
  2. Step 2: Convert to fraction form
    75,922.65/113,706.72 = 60,020.82/x
  3. Step 3: Cross multiply
    75,922.65x = 113,706.72 × 60,020.82
  4. Step 4: Simplify right side
    75,922.65x = 6,824,770,573.91
  5. Step 5: Solve for x
    x = 6,824,770,573.91/75,922.65
  6. Step 6: Final answer
    x = 89,891.10

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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.