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Finding the Fourth Proportional to 31,049.36, 46,574.16 and 16,262.64

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Solution

The fourth proportional to 31,049.36, 46,574.16 and 16,262.64 is: 24,394.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,049.36 : 46,574.16 = 16,262.64 : x
  2. Step 2: Convert to fraction form
    31,049.36/46,574.16 = 16,262.64/x
  3. Step 3: Cross multiply
    31,049.36x = 46,574.16 × 16,262.64
  4. Step 4: Simplify right side
    31,049.36x = 757,418,797.38
  5. Step 5: Solve for x
    x = 757,418,797.38/31,049.36
  6. Step 6: Final answer
    x = 24,394.02

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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.