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Finding the Fourth Proportional to 31,635.38, 47,462.95 and 9,449.64

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Solution

The fourth proportional to 31,635.38, 47,462.95 and 9,449.64 is: 14,177.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,635.38 : 47,462.95 = 9,449.64 : x
  2. Step 2: Convert to fraction form
    31,635.38/47,462.95 = 9,449.64/x
  3. Step 3: Cross multiply
    31,635.38x = 47,462.95 × 9,449.64
  4. Step 4: Simplify right side
    31,635.38x = 448,507,589.23
  5. Step 5: Solve for x
    x = 448,507,589.23/31,635.38
  6. Step 6: Final answer
    x = 14,177.40

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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.