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Finding the Fourth Proportional to 27,769.50, 41,657.51 and 9,752.19

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Solution

The fourth proportional to 27,769.50, 41,657.51 and 9,752.19 is: 14,629.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,769.50 : 41,657.51 = 9,752.19 : x
  2. Step 2: Convert to fraction form
    27,769.50/41,657.51 = 9,752.19/x
  3. Step 3: Cross multiply
    27,769.50x = 41,657.51 × 9,752.19
  4. Step 4: Simplify right side
    27,769.50x = 406,251,952.45
  5. Step 5: Solve for x
    x = 406,251,952.45/27,769.50
  6. Step 6: Final answer
    x = 14,629.43

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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.