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Finding the Fourth Proportional to 31,120.80, 46,608.30 and 21,206.40

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Solution

The fourth proportional to 31,120.80, 46,608.30 and 21,206.40 is: 31,759.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,120.80 : 46,608.30 = 21,206.40 : x
  2. Step 2: Convert to fraction form
    31,120.80/46,608.30 = 21,206.40/x
  3. Step 3: Cross multiply
    31,120.80x = 46,608.30 × 21,206.40
  4. Step 4: Simplify right side
    31,120.80x = 988,394,253.12
  5. Step 5: Solve for x
    x = 988,394,253.12/31,120.80
  6. Step 6: Final answer
    x = 31,759.92

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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.