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Finding the Fourth Proportional to 47,471.96, 65,451.76 and 30,446.17

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Solution

The fourth proportional to 47,471.96, 65,451.76 and 30,446.17 is: 41,977.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,471.96 : 65,451.76 = 30,446.17 : x
  2. Step 2: Convert to fraction form
    47,471.96/65,451.76 = 30,446.17/x
  3. Step 3: Cross multiply
    47,471.96x = 65,451.76 × 30,446.17
  4. Step 4: Simplify right side
    47,471.96x = 1,992,755,122.79
  5. Step 5: Solve for x
    x = 1,992,755,122.79/47,471.96
  6. Step 6: Final answer
    x = 41,977.52

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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.