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Finding the Fourth Proportional to 106,769.05, 160,151.54 and 31,889.41

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Solution

The fourth proportional to 106,769.05, 160,151.54 and 31,889.41 is: 47,833.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,769.05 : 160,151.54 = 31,889.41 : x
  2. Step 2: Convert to fraction form
    106,769.05/160,151.54 = 31,889.41/x
  3. Step 3: Cross multiply
    106,769.05x = 160,151.54 × 31,889.41
  4. Step 4: Simplify right side
    106,769.05x = 5,107,138,121.19
  5. Step 5: Solve for x
    x = 5,107,138,121.19/106,769.05
  6. Step 6: Final answer
    x = 47,833.51

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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.