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Finding the Fourth Proportional to 32,085.96, 44,260.38 and 22,638.12

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Solution

The fourth proportional to 32,085.96, 44,260.38 and 22,638.12 is: 31,227.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,085.96 : 44,260.38 = 22,638.12 : x
  2. Step 2: Convert to fraction form
    32,085.96/44,260.38 = 22,638.12/x
  3. Step 3: Cross multiply
    32,085.96x = 44,260.38 × 22,638.12
  4. Step 4: Simplify right side
    32,085.96x = 1,001,971,793.69
  5. Step 5: Solve for x
    x = 1,001,971,793.69/32,085.96
  6. Step 6: Final answer
    x = 31,227.73

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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.