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Finding the Fourth Proportional to 31,941.78, 44,081.02 and 17,794.62

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Solution

The fourth proportional to 31,941.78, 44,081.02 and 17,794.62 is: 24,557.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,941.78 : 44,081.02 = 17,794.62 : x
  2. Step 2: Convert to fraction form
    31,941.78/44,081.02 = 17,794.62/x
  3. Step 3: Cross multiply
    31,941.78x = 44,081.02 × 17,794.62
  4. Step 4: Simplify right side
    31,941.78x = 784,405,000.11
  5. Step 5: Solve for x
    x = 784,405,000.11/31,941.78
  6. Step 6: Final answer
    x = 24,557.34

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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.