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Finding the Fourth Proportional to 31,899.27, 44,012.79 and 21,830.82

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Solution

The fourth proportional to 31,899.27, 44,012.79 and 21,830.82 is: 30,120.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,899.27 : 44,012.79 = 21,830.82 : x
  2. Step 2: Convert to fraction form
    31,899.27/44,012.79 = 21,830.82/x
  3. Step 3: Cross multiply
    31,899.27x = 44,012.79 × 21,830.82
  4. Step 4: Simplify right side
    31,899.27x = 960,835,296.19
  5. Step 5: Solve for x
    x = 960,835,296.19/31,899.27
  6. Step 6: Final answer
    x = 30,120.92

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