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Finding the Fourth Proportional to 31,578.80, 47,086 and 30,440.48

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Solution

The fourth proportional to 31,578.80, 47,086 and 30,440.48 is: 45,388.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,578.80 : 47,086 = 30,440.48 : x
  2. Step 2: Convert to fraction form
    31,578.80/47,086 = 30,440.48/x
  3. Step 3: Cross multiply
    31,578.80x = 47,086 × 30,440.48
  4. Step 4: Simplify right side
    31,578.80x = 1,433,320,441.28
  5. Step 5: Solve for x
    x = 1,433,320,441.28/31,578.80
  6. Step 6: Final answer
    x = 45,388.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.