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Finding the Fourth Proportional to 32,771.68, 45,226.92 and 18,627.28

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Solution

The fourth proportional to 32,771.68, 45,226.92 and 18,627.28 is: 25,706.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,771.68 : 45,226.92 = 18,627.28 : x
  2. Step 2: Convert to fraction form
    32,771.68/45,226.92 = 18,627.28/x
  3. Step 3: Cross multiply
    32,771.68x = 45,226.92 × 18,627.28
  4. Step 4: Simplify right side
    32,771.68x = 842,454,502.38
  5. Step 5: Solve for x
    x = 842,454,502.38/32,771.68
  6. Step 6: Final answer
    x = 25,706.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.