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Finding the Fourth Proportional to 31,397.34, 47,102.01 and 10,343.48

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Solution

The fourth proportional to 31,397.34, 47,102.01 and 10,343.48 is: 15,517.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,397.34 : 47,102.01 = 10,343.48 : x
  2. Step 2: Convert to fraction form
    31,397.34/47,102.01 = 10,343.48/x
  3. Step 3: Cross multiply
    31,397.34x = 47,102.01 × 10,343.48
  4. Step 4: Simplify right side
    31,397.34x = 487,198,698.39
  5. Step 5: Solve for x
    x = 487,198,698.39/31,397.34
  6. Step 6: Final answer
    x = 15,517.20

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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.