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Finding the Fourth Proportional to 31,394.53, 47,086.62 and 10,334.85

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Solution

The fourth proportional to 31,394.53, 47,086.62 and 10,334.85 is: 15,500.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,394.53 : 47,086.62 = 10,334.85 : x
  2. Step 2: Convert to fraction form
    31,394.53/47,086.62 = 10,334.85/x
  3. Step 3: Cross multiply
    31,394.53x = 47,086.62 × 10,334.85
  4. Step 4: Simplify right side
    31,394.53x = 486,633,154.71
  5. Step 5: Solve for x
    x = 486,633,154.71/31,394.53
  6. Step 6: Final answer
    x = 15,500.57

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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.