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Finding the Fourth Proportional to 31,775.92, 43,850.10 and 17,628.64

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Solution

The fourth proportional to 31,775.92, 43,850.10 and 17,628.64 is: 24,327.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,775.92 : 43,850.10 = 17,628.64 : x
  2. Step 2: Convert to fraction form
    31,775.92/43,850.10 = 17,628.64/x
  3. Step 3: Cross multiply
    31,775.92x = 43,850.10 × 17,628.64
  4. Step 4: Simplify right side
    31,775.92x = 773,017,626.86
  5. Step 5: Solve for x
    x = 773,017,626.86/31,775.92
  6. Step 6: Final answer
    x = 24,327.15

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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.