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Finding the Fourth Proportional to 34,086.96, 47,027.52 and 20,648.52

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Solution

The fourth proportional to 34,086.96, 47,027.52 and 20,648.52 is: 28,487.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,086.96 : 47,027.52 = 20,648.52 : x
  2. Step 2: Convert to fraction form
    34,086.96/47,027.52 = 20,648.52/x
  3. Step 3: Cross multiply
    34,086.96x = 47,027.52 × 20,648.52
  4. Step 4: Simplify right side
    34,086.96x = 971,048,687.27
  5. Step 5: Solve for x
    x = 971,048,687.27/34,086.96
  6. Step 6: Final answer
    x = 28,487.39

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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.