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Finding the Fourth Proportional to 31,211.68, 46,815.69 and 9,024.57

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Solution

The fourth proportional to 31,211.68, 46,815.69 and 9,024.57 is: 13,536.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,211.68 : 46,815.69 = 9,024.57 : x
  2. Step 2: Convert to fraction form
    31,211.68/46,815.69 = 9,024.57/x
  3. Step 3: Cross multiply
    31,211.68x = 46,815.69 × 9,024.57
  4. Step 4: Simplify right side
    31,211.68x = 422,491,471.50
  5. Step 5: Solve for x
    x = 422,491,471.50/31,211.68
  6. Step 6: Final answer
    x = 13,536.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.