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Finding the Fourth Proportional to 31,228.68, 46,810.22 and 11,494.65

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Solution

The fourth proportional to 31,228.68, 46,810.22 and 11,494.65 is: 17,229.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,228.68 : 46,810.22 = 11,494.65 : x
  2. Step 2: Convert to fraction form
    31,228.68/46,810.22 = 11,494.65/x
  3. Step 3: Cross multiply
    31,228.68x = 46,810.22 × 11,494.65
  4. Step 4: Simplify right side
    31,228.68x = 538,067,037.85
  5. Step 5: Solve for x
    x = 538,067,037.85/31,228.68
  6. Step 6: Final answer
    x = 17,229.90

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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.