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Finding the Fourth Proportional to 31,396.34, 47,100.51 and 10,342.48

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Solution

The fourth proportional to 31,396.34, 47,100.51 and 10,342.48 is: 15,515.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,396.34 : 47,100.51 = 10,342.48 : x
  2. Step 2: Convert to fraction form
    31,396.34/47,100.51 = 10,342.48/x
  3. Step 3: Cross multiply
    31,396.34x = 47,100.51 × 10,342.48
  4. Step 4: Simplify right side
    31,396.34x = 487,135,964.91
  5. Step 5: Solve for x
    x = 487,135,964.91/31,396.34
  6. Step 6: Final answer
    x = 15,515.69

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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.