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Finding the Fourth Proportional to 34,638.11, 47,801.12 and 20,294.50

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Solution

The fourth proportional to 34,638.11, 47,801.12 and 20,294.50 is: 28,006.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,638.11 : 47,801.12 = 20,294.50 : x
  2. Step 2: Convert to fraction form
    34,638.11/47,801.12 = 20,294.50/x
  3. Step 3: Cross multiply
    34,638.11x = 47,801.12 × 20,294.50
  4. Step 4: Simplify right side
    34,638.11x = 970,099,873.24
  5. Step 5: Solve for x
    x = 970,099,873.24/34,638.11
  6. Step 6: Final answer
    x = 28,006.72

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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.