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Finding the Fourth Proportional to 33,014.40, 49,456.80 and 19,827.84

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Solution

The fourth proportional to 33,014.40, 49,456.80 and 19,827.84 is: 29,702.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,014.40 : 49,456.80 = 19,827.84 : x
  2. Step 2: Convert to fraction form
    33,014.40/49,456.80 = 19,827.84/x
  3. Step 3: Cross multiply
    33,014.40x = 49,456.80 × 19,827.84
  4. Step 4: Simplify right side
    33,014.40x = 980,621,517.31
  5. Step 5: Solve for x
    x = 980,621,517.31/33,014.40
  6. Step 6: Final answer
    x = 29,702.84

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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.