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Finding the Fourth Proportional to 31,993.60, 44,150.25 and 17,846.14

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Solution

The fourth proportional to 31,993.60, 44,150.25 and 17,846.14 is: 24,627.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,993.60 : 44,150.25 = 17,846.14 : x
  2. Step 2: Convert to fraction form
    31,993.60/44,150.25 = 17,846.14/x
  3. Step 3: Cross multiply
    31,993.60x = 44,150.25 × 17,846.14
  4. Step 4: Simplify right side
    31,993.60x = 787,911,542.54
  5. Step 5: Solve for x
    x = 787,911,542.54/31,993.60
  6. Step 6: Final answer
    x = 24,627.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.