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Finding the Fourth Proportional to 31,764.66, 43,815.21 and 20,448.94

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Solution

The fourth proportional to 31,764.66, 43,815.21 and 20,448.94 is: 28,206.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,764.66 : 43,815.21 = 20,448.94 : x
  2. Step 2: Convert to fraction form
    31,764.66/43,815.21 = 20,448.94/x
  3. Step 3: Cross multiply
    31,764.66x = 43,815.21 × 20,448.94
  4. Step 4: Simplify right side
    31,764.66x = 895,974,600.38
  5. Step 5: Solve for x
    x = 895,974,600.38/31,764.66
  6. Step 6: Final answer
    x = 28,206.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.