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Finding the Fourth Proportional to 31,396.35, 47,103.03 and 9,209.53

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Solution

The fourth proportional to 31,396.35, 47,103.03 and 9,209.53 is: 13,816.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,396.35 : 47,103.03 = 9,209.53 : x
  2. Step 2: Convert to fraction form
    31,396.35/47,103.03 = 9,209.53/x
  3. Step 3: Cross multiply
    31,396.35x = 47,103.03 × 9,209.53
  4. Step 4: Simplify right side
    31,396.35x = 433,796,767.88
  5. Step 5: Solve for x
    x = 433,796,767.88/31,396.35
  6. Step 6: Final answer
    x = 13,816.79

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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.