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Finding the Fourth Proportional to 31,651.12, 47,476.24 and 9,464.08

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Solution

The fourth proportional to 31,651.12, 47,476.24 and 9,464.08 is: 14,195.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,651.12 : 47,476.24 = 9,464.08 : x
  2. Step 2: Convert to fraction form
    31,651.12/47,476.24 = 9,464.08/x
  3. Step 3: Cross multiply
    31,651.12x = 47,476.24 × 9,464.08
  4. Step 4: Simplify right side
    31,651.12x = 449,318,933.46
  5. Step 5: Solve for x
    x = 449,318,933.46/31,651.12
  6. Step 6: Final answer
    x = 14,195.99

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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.