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Finding the Fourth Proportional to 33,801.84, 50,702.88 and 10,428.48

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Solution

The fourth proportional to 33,801.84, 50,702.88 and 10,428.48 is: 15,642.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,801.84 : 50,702.88 = 10,428.48 : x
  2. Step 2: Convert to fraction form
    33,801.84/50,702.88 = 10,428.48/x
  3. Step 3: Cross multiply
    33,801.84x = 50,702.88 × 10,428.48
  4. Step 4: Simplify right side
    33,801.84x = 528,753,970.02
  5. Step 5: Solve for x
    x = 528,753,970.02/33,801.84
  6. Step 6: Final answer
    x = 15,642.76

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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.