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Finding the Fourth Proportional to 32,675, 45,091.88 and 17,771

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Solution

The fourth proportional to 32,675, 45,091.88 and 17,771 is: 24,524.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,675 : 45,091.88 = 17,771 : x
  2. Step 2: Convert to fraction form
    32,675/45,091.88 = 17,771/x
  3. Step 3: Cross multiply
    32,675x = 45,091.88 × 17,771
  4. Step 4: Simplify right side
    32,675x = 801,327,799.48
  5. Step 5: Solve for x
    x = 801,327,799.48/32,675
  6. Step 6: Final answer
    x = 24,524.19

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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.