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Finding the Fourth Proportional to 31,257.92, 46,891.74 and 10,476.56

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Solution

The fourth proportional to 31,257.92, 46,891.74 and 10,476.56 is: 15,716.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,257.92 : 46,891.74 = 10,476.56 : x
  2. Step 2: Convert to fraction form
    31,257.92/46,891.74 = 10,476.56/x
  3. Step 3: Cross multiply
    31,257.92x = 46,891.74 × 10,476.56
  4. Step 4: Simplify right side
    31,257.92x = 491,264,284.13
  5. Step 5: Solve for x
    x = 491,264,284.13/31,257.92
  6. Step 6: Final answer
    x = 15,716.47

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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.