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Finding the Fourth Proportional to 32,076.63, 44,266.76 and 17,929.44

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Solution

The fourth proportional to 32,076.63, 44,266.76 and 17,929.44 is: 24,743.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,076.63 : 44,266.76 = 17,929.44 : x
  2. Step 2: Convert to fraction form
    32,076.63/44,266.76 = 17,929.44/x
  3. Step 3: Cross multiply
    32,076.63x = 44,266.76 × 17,929.44
  4. Step 4: Simplify right side
    32,076.63x = 793,678,217.41
  5. Step 5: Solve for x
    x = 793,678,217.41/32,076.63
  6. Step 6: Final answer
    x = 24,743.19

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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.