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Finding the Fourth Proportional to 32,961.75, 45,487.09 and 17,854.38

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Solution

The fourth proportional to 32,961.75, 45,487.09 and 17,854.38 is: 24,638.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,961.75 : 45,487.09 = 17,854.38 : x
  2. Step 2: Convert to fraction form
    32,961.75/45,487.09 = 17,854.38/x
  3. Step 3: Cross multiply
    32,961.75x = 45,487.09 × 17,854.38
  4. Step 4: Simplify right side
    32,961.75x = 812,143,789.95
  5. Step 5: Solve for x
    x = 812,143,789.95/32,961.75
  6. Step 6: Final answer
    x = 24,638.98

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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.