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Finding the Fourth Proportional to 31,420.46, 47,138.80 and 9,234.56

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Solution

The fourth proportional to 31,420.46, 47,138.80 and 9,234.56 is: 13,854.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,420.46 : 47,138.80 = 9,234.56 : x
  2. Step 2: Convert to fraction form
    31,420.46/47,138.80 = 9,234.56/x
  3. Step 3: Cross multiply
    31,420.46x = 47,138.80 × 9,234.56
  4. Step 4: Simplify right side
    31,420.46x = 435,306,076.93
  5. Step 5: Solve for x
    x = 435,306,076.93/31,420.46
  6. Step 6: Final answer
    x = 13,854.22

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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.