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Finding the Fourth Proportional to 34,657.38, 47,827.68 and 21,223.73

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Solution

The fourth proportional to 34,657.38, 47,827.68 and 21,223.73 is: 29,289.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,657.38 : 47,827.68 = 21,223.73 : x
  2. Step 2: Convert to fraction form
    34,657.38/47,827.68 = 21,223.73/x
  3. Step 3: Cross multiply
    34,657.38x = 47,827.68 × 21,223.73
  4. Step 4: Simplify right side
    34,657.38x = 1,015,081,766.85
  5. Step 5: Solve for x
    x = 1,015,081,766.85/34,657.38
  6. Step 6: Final answer
    x = 29,289.05

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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.