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Finding the Fourth Proportional to 31,343.62, 47,021.52 and 9,157.10

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Solution

The fourth proportional to 31,343.62, 47,021.52 and 9,157.10 is: 13,737.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,343.62 : 47,021.52 = 9,157.10 : x
  2. Step 2: Convert to fraction form
    31,343.62/47,021.52 = 9,157.10/x
  3. Step 3: Cross multiply
    31,343.62x = 47,021.52 × 9,157.10
  4. Step 4: Simplify right side
    31,343.62x = 430,580,760.79
  5. Step 5: Solve for x
    x = 430,580,760.79/31,343.62
  6. Step 6: Final answer
    x = 13,737.43

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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.