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Finding the Fourth Proportional to 34,600.41, 47,749.10 and 20,454.57

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Solution

The fourth proportional to 34,600.41, 47,749.10 and 20,454.57 is: 28,227.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,600.41 : 47,749.10 = 20,454.57 : x
  2. Step 2: Convert to fraction form
    34,600.41/47,749.10 = 20,454.57/x
  3. Step 3: Cross multiply
    34,600.41x = 47,749.10 × 20,454.57
  4. Step 4: Simplify right side
    34,600.41x = 976,687,206.11
  5. Step 5: Solve for x
    x = 976,687,206.11/34,600.41
  6. Step 6: Final answer
    x = 28,227.62

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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.