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Finding the Fourth Proportional to 31,394.44, 47,073.91 and 10,328.78

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Solution

The fourth proportional to 31,394.44, 47,073.91 and 10,328.78 is: 15,487.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,394.44 : 47,073.91 = 10,328.78 : x
  2. Step 2: Convert to fraction form
    31,394.44/47,073.91 = 10,328.78/x
  3. Step 3: Cross multiply
    31,394.44x = 47,073.91 × 10,328.78
  4. Step 4: Simplify right side
    31,394.44x = 486,216,060.13
  5. Step 5: Solve for x
    x = 486,216,060.13/31,394.44
  6. Step 6: Final answer
    x = 15,487.33

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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.