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Finding the Fourth Proportional to 31,331.46, 46,992.42 and 10,271.46

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Solution

The fourth proportional to 31,331.46, 46,992.42 and 10,271.46 is: 15,405.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,331.46 : 46,992.42 = 10,271.46 : x
  2. Step 2: Convert to fraction form
    31,331.46/46,992.42 = 10,271.46/x
  3. Step 3: Cross multiply
    31,331.46x = 46,992.42 × 10,271.46
  4. Step 4: Simplify right side
    31,331.46x = 482,680,762.33
  5. Step 5: Solve for x
    x = 482,680,762.33/31,331.46
  6. Step 6: Final answer
    x = 15,405.63

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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.