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Finding the Fourth Proportional to 32,542.12, 44,908.02 and 17,638.12

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Solution

The fourth proportional to 32,542.12, 44,908.02 and 17,638.12 is: 24,340.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,542.12 : 44,908.02 = 17,638.12 : x
  2. Step 2: Convert to fraction form
    32,542.12/44,908.02 = 17,638.12/x
  3. Step 3: Cross multiply
    32,542.12x = 44,908.02 × 17,638.12
  4. Step 4: Simplify right side
    32,542.12x = 792,093,045.72
  5. Step 5: Solve for x
    x = 792,093,045.72/32,542.12
  6. Step 6: Final answer
    x = 24,340.55

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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.