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Finding the Fourth Proportional to 31,422.89, 47,127.03 and 9,230.31

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Solution

The fourth proportional to 31,422.89, 47,127.03 and 9,230.31 is: 13,843.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,422.89 : 47,127.03 = 9,230.31 : x
  2. Step 2: Convert to fraction form
    31,422.89/47,127.03 = 9,230.31/x
  3. Step 3: Cross multiply
    31,422.89x = 47,127.03 × 9,230.31
  4. Step 4: Simplify right side
    31,422.89x = 434,997,096.28
  5. Step 5: Solve for x
    x = 434,997,096.28/31,422.89
  6. Step 6: Final answer
    x = 13,843.32

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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.