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Finding the Fourth Proportional to 27,178.61, 40,769.20 and 22,425.96

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Solution

The fourth proportional to 27,178.61, 40,769.20 and 22,425.96 is: 33,639.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,178.61 : 40,769.20 = 22,425.96 : x
  2. Step 2: Convert to fraction form
    27,178.61/40,769.20 = 22,425.96/x
  3. Step 3: Cross multiply
    27,178.61x = 40,769.20 × 22,425.96
  4. Step 4: Simplify right side
    27,178.61x = 914,288,323.58
  5. Step 5: Solve for x
    x = 914,288,323.58/27,178.61
  6. Step 6: Final answer
    x = 33,639.99

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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.