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Finding the Fourth Proportional to 31,954.06, 47,937.94 and 9,766.71

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Solution

The fourth proportional to 31,954.06, 47,937.94 and 9,766.71 is: 14,652.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,954.06 : 47,937.94 = 9,766.71 : x
  2. Step 2: Convert to fraction form
    31,954.06/47,937.94 = 9,766.71/x
  3. Step 3: Cross multiply
    31,954.06x = 47,937.94 × 9,766.71
  4. Step 4: Simplify right side
    31,954.06x = 468,195,669.45
  5. Step 5: Solve for x
    x = 468,195,669.45/31,954.06
  6. Step 6: Final answer
    x = 14,652.15

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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.