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Finding the Fourth Proportional to 32,909, 45,414.42 and 17,801.66

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Solution

The fourth proportional to 32,909, 45,414.42 and 17,801.66 is: 24,566.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,909 : 45,414.42 = 17,801.66 : x
  2. Step 2: Convert to fraction form
    32,909/45,414.42 = 17,801.66/x
  3. Step 3: Cross multiply
    32,909x = 45,414.42 × 17,801.66
  4. Step 4: Simplify right side
    32,909x = 808,452,063.94
  5. Step 5: Solve for x
    x = 808,452,063.94/32,909
  6. Step 6: Final answer
    x = 24,566.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.