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Finding the Fourth Proportional to 31,420.84, 47,131.44 and 9,234.12

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Solution

The fourth proportional to 31,420.84, 47,131.44 and 9,234.12 is: 13,851.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,420.84 : 47,131.44 = 9,234.12 : x
  2. Step 2: Convert to fraction form
    31,420.84/47,131.44 = 9,234.12/x
  3. Step 3: Cross multiply
    31,420.84x = 47,131.44 × 9,234.12
  4. Step 4: Simplify right side
    31,420.84x = 435,217,372.73
  5. Step 5: Solve for x
    x = 435,217,372.73/31,420.84
  6. Step 6: Final answer
    x = 13,851.23

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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.