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Finding the Fourth Proportional to 32,264, 44,524.32 and 18,116.86

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Solution

The fourth proportional to 32,264, 44,524.32 and 18,116.86 is: 25,001.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,264 : 44,524.32 = 18,116.86 : x
  2. Step 2: Convert to fraction form
    32,264/44,524.32 = 18,116.86/x
  3. Step 3: Cross multiply
    32,264x = 44,524.32 × 18,116.86
  4. Step 4: Simplify right side
    32,264x = 806,640,872.04
  5. Step 5: Solve for x
    x = 806,640,872.04/32,264
  6. Step 6: Final answer
    x = 25,001.27

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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.