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Finding the Fourth Proportional to 31,370.27, 47,073.76 and 11,662.43

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Solution

The fourth proportional to 31,370.27, 47,073.76 and 11,662.43 is: 17,500.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,370.27 : 47,073.76 = 11,662.43 : x
  2. Step 2: Convert to fraction form
    31,370.27/47,073.76 = 11,662.43/x
  3. Step 3: Cross multiply
    31,370.27x = 47,073.76 × 11,662.43
  4. Step 4: Simplify right side
    31,370.27x = 548,994,166.31
  5. Step 5: Solve for x
    x = 548,994,166.31/31,370.27
  6. Step 6: Final answer
    x = 17,500.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.