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Finding the Fourth Proportional to 33,012.96, 49,494.80 and 19,862.25

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Solution

The fourth proportional to 33,012.96, 49,494.80 and 19,862.25 is: 29,778.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,012.96 : 49,494.80 = 19,862.25 : x
  2. Step 2: Convert to fraction form
    33,012.96/49,494.80 = 19,862.25/x
  3. Step 3: Cross multiply
    33,012.96x = 49,494.80 × 19,862.25
  4. Step 4: Simplify right side
    33,012.96x = 983,077,843.83
  5. Step 5: Solve for x
    x = 983,077,843.83/33,012.96
  6. Step 6: Final answer
    x = 29,778.55

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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.