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Finding the Fourth Proportional to 33,801.50, 50,702.26 and 9,177.50

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Solution

The fourth proportional to 33,801.50, 50,702.26 and 9,177.50 is: 13,766.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,801.50 : 50,702.26 = 9,177.50 : x
  2. Step 2: Convert to fraction form
    33,801.50/50,702.26 = 9,177.50/x
  3. Step 3: Cross multiply
    33,801.50x = 50,702.26 × 9,177.50
  4. Step 4: Simplify right side
    33,801.50x = 465,319,991.15
  5. Step 5: Solve for x
    x = 465,319,991.15/33,801.50
  6. Step 6: Final answer
    x = 13,766.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.