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Finding the Fourth Proportional to 33,138.64, 49,707.90 and 23,321.80

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Solution

The fourth proportional to 33,138.64, 49,707.90 and 23,321.80 is: 34,982.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,138.64 : 49,707.90 = 23,321.80 : x
  2. Step 2: Convert to fraction form
    33,138.64/49,707.90 = 23,321.80/x
  3. Step 3: Cross multiply
    33,138.64x = 49,707.90 × 23,321.80
  4. Step 4: Simplify right side
    33,138.64x = 1,159,277,702.22
  5. Step 5: Solve for x
    x = 1,159,277,702.22/33,138.64
  6. Step 6: Final answer
    x = 34,982.66

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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.