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Finding the Fourth Proportional to 33,702.90, 50,555.64 and 8,742.30

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Solution

The fourth proportional to 33,702.90, 50,555.64 and 8,742.30 is: 13,113.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,702.90 : 50,555.64 = 8,742.30 : x
  2. Step 2: Convert to fraction form
    33,702.90/50,555.64 = 8,742.30/x
  3. Step 3: Cross multiply
    33,702.90x = 50,555.64 × 8,742.30
  4. Step 4: Simplify right side
    33,702.90x = 441,972,571.57
  5. Step 5: Solve for x
    x = 441,972,571.57/33,702.90
  6. Step 6: Final answer
    x = 13,113.78

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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.