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Finding the Fourth Proportional to 31,351.96, 46,994.84 and 10,286.50

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Solution

The fourth proportional to 31,351.96, 46,994.84 and 10,286.50 is: 15,418.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,351.96 : 46,994.84 = 10,286.50 : x
  2. Step 2: Convert to fraction form
    31,351.96/46,994.84 = 10,286.50/x
  3. Step 3: Cross multiply
    31,351.96x = 46,994.84 × 10,286.50
  4. Step 4: Simplify right side
    31,351.96x = 483,412,421.66
  5. Step 5: Solve for x
    x = 483,412,421.66/31,351.96
  6. Step 6: Final answer
    x = 15,418.89

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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.