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Finding the Fourth Proportional to 34,502, 47,613.84 and 20,366.96

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Solution

The fourth proportional to 34,502, 47,613.84 and 20,366.96 is: 28,107.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,502 : 47,613.84 = 20,366.96 : x
  2. Step 2: Convert to fraction form
    34,502/47,613.84 = 20,366.96/x
  3. Step 3: Cross multiply
    34,502x = 47,613.84 × 20,366.96
  4. Step 4: Simplify right side
    34,502x = 969,749,174.73
  5. Step 5: Solve for x
    x = 969,749,174.73/34,502
  6. Step 6: Final answer
    x = 28,107.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.