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Finding the Fourth Proportional to 31,440.78, 47,161.20 and 7,748.33

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Solution

The fourth proportional to 31,440.78, 47,161.20 and 7,748.33 is: 11,622.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,440.78 : 47,161.20 = 7,748.33 : x
  2. Step 2: Convert to fraction form
    31,440.78/47,161.20 = 7,748.33/x
  3. Step 3: Cross multiply
    31,440.78x = 47,161.20 × 7,748.33
  4. Step 4: Simplify right side
    31,440.78x = 365,420,304.99
  5. Step 5: Solve for x
    x = 365,420,304.99/31,440.78
  6. Step 6: Final answer
    x = 11,622.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.