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Finding the Fourth Proportional to 106,788.16, 160,194.39 and 31,912.57

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Solution

The fourth proportional to 106,788.16, 160,194.39 and 31,912.57 is: 47,872.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,788.16 : 160,194.39 = 31,912.57 : x
  2. Step 2: Convert to fraction form
    106,788.16/160,194.39 = 31,912.57/x
  3. Step 3: Cross multiply
    106,788.16x = 160,194.39 × 31,912.57
  4. Step 4: Simplify right side
    106,788.16x = 5,112,214,684.48
  5. Step 5: Solve for x
    x = 5,112,214,684.48/106,788.16
  6. Step 6: Final answer
    x = 47,872.49

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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.