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Finding the Fourth Proportional to 32,542.22, 44,908.35 and 17,638.22

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Solution

The fourth proportional to 32,542.22, 44,908.35 and 17,638.22 is: 24,340.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,542.22 : 44,908.35 = 17,638.22 : x
  2. Step 2: Convert to fraction form
    32,542.22/44,908.35 = 17,638.22/x
  3. Step 3: Cross multiply
    32,542.22x = 44,908.35 × 17,638.22
  4. Step 4: Simplify right side
    32,542.22x = 792,103,357.14
  5. Step 5: Solve for x
    x = 792,103,357.14/32,542.22
  6. Step 6: Final answer
    x = 24,340.79

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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.