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Finding the Fourth Proportional to 32,661, 45,072.54 and 17,757

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Solution

The fourth proportional to 32,661, 45,072.54 and 17,757 is: 24,504.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,661 : 45,072.54 = 17,757 : x
  2. Step 2: Convert to fraction form
    32,661/45,072.54 = 17,757/x
  3. Step 3: Cross multiply
    32,661x = 45,072.54 × 17,757
  4. Step 4: Simplify right side
    32,661x = 800,353,092.78
  5. Step 5: Solve for x
    x = 800,353,092.78/32,661
  6. Step 6: Final answer
    x = 24,504.86

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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.