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Finding the Fourth Proportional to 31,292.99, 46,942.37 and 10,233.14

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Solution

The fourth proportional to 31,292.99, 46,942.37 and 10,233.14 is: 15,350.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,292.99 : 46,942.37 = 10,233.14 : x
  2. Step 2: Convert to fraction form
    31,292.99/46,942.37 = 10,233.14/x
  3. Step 3: Cross multiply
    31,292.99x = 46,942.37 × 10,233.14
  4. Step 4: Simplify right side
    31,292.99x = 480,367,792.98
  5. Step 5: Solve for x
    x = 480,367,792.98/31,292.99
  6. Step 6: Final answer
    x = 15,350.65

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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.