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Finding the Fourth Proportional to 106,990.74, 160,512.75 and 32,112.27

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Solution

The fourth proportional to 106,990.74, 160,512.75 and 32,112.27 is: 48,176.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,990.74 : 160,512.75 = 32,112.27 : x
  2. Step 2: Convert to fraction form
    106,990.74/160,512.75 = 32,112.27/x
  3. Step 3: Cross multiply
    106,990.74x = 160,512.75 × 32,112.27
  4. Step 4: Simplify right side
    106,990.74x = 5,154,428,766.44
  5. Step 5: Solve for x
    x = 5,154,428,766.44/106,990.74
  6. Step 6: Final answer
    x = 48,176.40

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Why These Related Problems?

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