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Finding the Fourth Proportional to 31,778.91, 43,852.68 and 17,630.64

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Solution

The fourth proportional to 31,778.91, 43,852.68 and 17,630.64 is: 24,329.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,778.91 : 43,852.68 = 17,630.64 : x
  2. Step 2: Convert to fraction form
    31,778.91/43,852.68 = 17,630.64/x
  3. Step 3: Cross multiply
    31,778.91x = 43,852.68 × 17,630.64
  4. Step 4: Simplify right side
    31,778.91x = 773,150,814.12
  5. Step 5: Solve for x
    x = 773,150,814.12/31,778.91
  6. Step 6: Final answer
    x = 24,329.05

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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.