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Finding the Fourth Proportional to 31,446.92, 47,166.54 and 8,073.48

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Solution

The fourth proportional to 31,446.92, 47,166.54 and 8,073.48 is: 12,109.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,446.92 : 47,166.54 = 8,073.48 : x
  2. Step 2: Convert to fraction form
    31,446.92/47,166.54 = 8,073.48/x
  3. Step 3: Cross multiply
    31,446.92x = 47,166.54 × 8,073.48
  4. Step 4: Simplify right side
    31,446.92x = 380,798,117.36
  5. Step 5: Solve for x
    x = 380,798,117.36/31,446.92
  6. Step 6: Final answer
    x = 12,109.23

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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.