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Finding the Fourth Proportional to 106,720.41, 160,103.49 and 31,846.44

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Solution

The fourth proportional to 106,720.41, 160,103.49 and 31,846.44 is: 47,776.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,720.41 : 160,103.49 = 31,846.44 : x
  2. Step 2: Convert to fraction form
    106,720.41/160,103.49 = 31,846.44/x
  3. Step 3: Cross multiply
    106,720.41x = 160,103.49 × 31,846.44
  4. Step 4: Simplify right side
    106,720.41x = 5,098,726,188.08
  5. Step 5: Solve for x
    x = 5,098,726,188.08/106,720.41
  6. Step 6: Final answer
    x = 47,776.49

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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.