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Finding the Fourth Proportional to 32,348.32, 44,640.17 and 18,201.20

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Solution

The fourth proportional to 32,348.32, 44,640.17 and 18,201.20 is: 25,117.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,348.32 : 44,640.17 = 18,201.20 : x
  2. Step 2: Convert to fraction form
    32,348.32/44,640.17 = 18,201.20/x
  3. Step 3: Cross multiply
    32,348.32x = 44,640.17 × 18,201.20
  4. Step 4: Simplify right side
    32,348.32x = 812,504,662.20
  5. Step 5: Solve for x
    x = 812,504,662.20/32,348.32
  6. Step 6: Final answer
    x = 25,117.37

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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.