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Finding the Fourth Proportional to 49,891.65, 74,786.84 and 42,608.94

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Solution

The fourth proportional to 49,891.65, 74,786.84 and 42,608.94 is: 63,870.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,891.65 : 74,786.84 = 42,608.94 : x
  2. Step 2: Convert to fraction form
    49,891.65/74,786.84 = 42,608.94/x
  3. Step 3: Cross multiply
    49,891.65x = 74,786.84 × 42,608.94
  4. Step 4: Simplify right side
    49,891.65x = 3,186,587,765.30
  5. Step 5: Solve for x
    x = 3,186,587,765.30/49,891.65
  6. Step 6: Final answer
    x = 63,870.16

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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.