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Finding the Fourth Proportional to 31,773.92, 43,847.34 and 17,626.64

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Solution

The fourth proportional to 31,773.92, 43,847.34 and 17,626.64 is: 24,324.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,773.92 : 43,847.34 = 17,626.64 : x
  2. Step 2: Convert to fraction form
    31,773.92/43,847.34 = 17,626.64/x
  3. Step 3: Cross multiply
    31,773.92x = 43,847.34 × 17,626.64
  4. Step 4: Simplify right side
    31,773.92x = 772,881,277.14
  5. Step 5: Solve for x
    x = 772,881,277.14/31,773.92
  6. Step 6: Final answer
    x = 24,324.39

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Why These Related Problems?

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