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Finding the Fourth Proportional to 34,658.16, 47,817.18 and 20,508.27

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Solution

The fourth proportional to 34,658.16, 47,817.18 and 20,508.27 is: 28,294.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,658.16 : 47,817.18 = 20,508.27 : x
  2. Step 2: Convert to fraction form
    34,658.16/47,817.18 = 20,508.27/x
  3. Step 3: Cross multiply
    34,658.16x = 47,817.18 × 20,508.27
  4. Step 4: Simplify right side
    34,658.16x = 980,647,638.08
  5. Step 5: Solve for x
    x = 980,647,638.08/34,658.16
  6. Step 6: Final answer
    x = 28,294.86

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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.