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Finding the Fourth Proportional to 32,893.44, 45,377.76 and 20,142.72

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Solution

The fourth proportional to 32,893.44, 45,377.76 and 20,142.72 is: 27,787.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,893.44 : 45,377.76 = 20,142.72 : x
  2. Step 2: Convert to fraction form
    32,893.44/45,377.76 = 20,142.72/x
  3. Step 3: Cross multiply
    32,893.44x = 45,377.76 × 20,142.72
  4. Step 4: Simplify right side
    32,893.44x = 914,031,513.91
  5. Step 5: Solve for x
    x = 914,031,513.91/32,893.44
  6. Step 6: Final answer
    x = 27,787.65

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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.