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Finding the Fourth Proportional to 29,733.96, 41,032.25 and 18,400.44

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Solution

The fourth proportional to 29,733.96, 41,032.25 and 18,400.44 is: 25,392.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,733.96 : 41,032.25 = 18,400.44 : x
  2. Step 2: Convert to fraction form
    29,733.96/41,032.25 = 18,400.44/x
  3. Step 3: Cross multiply
    29,733.96x = 41,032.25 × 18,400.44
  4. Step 4: Simplify right side
    29,733.96x = 755,011,454.19
  5. Step 5: Solve for x
    x = 755,011,454.19/29,733.96
  6. Step 6: Final answer
    x = 25,392.23

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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.