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Finding the Fourth Proportional to 31,212.74, 46,809.38 and 10,431.38

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Solution

The fourth proportional to 31,212.74, 46,809.38 and 10,431.38 is: 15,643.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,212.74 : 46,809.38 = 10,431.38 : x
  2. Step 2: Convert to fraction form
    31,212.74/46,809.38 = 10,431.38/x
  3. Step 3: Cross multiply
    31,212.74x = 46,809.38 × 10,431.38
  4. Step 4: Simplify right side
    31,212.74x = 488,286,144.14
  5. Step 5: Solve for x
    x = 488,286,144.14/31,212.74
  6. Step 6: Final answer
    x = 15,643.81

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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.