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Finding the Fourth Proportional to 32,076.97, 44,266.27 and 17,929.80

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Solution

The fourth proportional to 32,076.97, 44,266.27 and 17,929.80 is: 24,743.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,076.97 : 44,266.27 = 17,929.80 : x
  2. Step 2: Convert to fraction form
    32,076.97/44,266.27 = 17,929.80/x
  3. Step 3: Cross multiply
    32,076.97x = 44,266.27 × 17,929.80
  4. Step 4: Simplify right side
    32,076.97x = 793,685,367.85
  5. Step 5: Solve for x
    x = 793,685,367.85/32,076.97
  6. Step 6: Final answer
    x = 24,743.15

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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.