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Finding the Fourth Proportional to 41,841.65, 62,769.40 and 20,782.40

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Solution

The fourth proportional to 41,841.65, 62,769.40 and 20,782.40 is: 31,177.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,841.65 : 62,769.40 = 20,782.40 : x
  2. Step 2: Convert to fraction form
    41,841.65/62,769.40 = 20,782.40/x
  3. Step 3: Cross multiply
    41,841.65x = 62,769.40 × 20,782.40
  4. Step 4: Simplify right side
    41,841.65x = 1,304,498,412.76
  5. Step 5: Solve for x
    x = 1,304,498,412.76/41,841.65
  6. Step 6: Final answer
    x = 31,177.03

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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.