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Finding the Fourth Proportional to 31,120.88, 46,689 and 10,344.56

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Solution

The fourth proportional to 31,120.88, 46,689 and 10,344.56 is: 15,519.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,120.88 : 46,689 = 10,344.56 : x
  2. Step 2: Convert to fraction form
    31,120.88/46,689 = 10,344.56/x
  3. Step 3: Cross multiply
    31,120.88x = 46,689 × 10,344.56
  4. Step 4: Simplify right side
    31,120.88x = 482,977,161.84
  5. Step 5: Solve for x
    x = 482,977,161.84/31,120.88
  6. Step 6: Final answer
    x = 15,519.39

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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.