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Finding the Fourth Proportional to 32,772, 45,229.20 and 18,626.97

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Solution

The fourth proportional to 32,772, 45,229.20 and 18,626.97 is: 25,707.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,772 : 45,229.20 = 18,626.97 : x
  2. Step 2: Convert to fraction form
    32,772/45,229.20 = 18,626.97/x
  3. Step 3: Cross multiply
    32,772x = 45,229.20 × 18,626.97
  4. Step 4: Simplify right side
    32,772x = 842,482,951.52
  5. Step 5: Solve for x
    x = 842,482,951.52/32,772
  6. Step 6: Final answer
    x = 25,707.40

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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.