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Finding the Fourth Proportional to 31,344.45, 47,028.96 and 13,801.98

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Solution

The fourth proportional to 31,344.45, 47,028.96 and 13,801.98 is: 20,708.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,344.45 : 47,028.96 = 13,801.98 : x
  2. Step 2: Convert to fraction form
    31,344.45/47,028.96 = 13,801.98/x
  3. Step 3: Cross multiply
    31,344.45x = 47,028.96 × 13,801.98
  4. Step 4: Simplify right side
    31,344.45x = 649,092,765.34
  5. Step 5: Solve for x
    x = 649,092,765.34/31,344.45
  6. Step 6: Final answer
    x = 20,708.38

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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.