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Finding the Fourth Proportional to 33,640.16, 50,461.40 and 17,823.80

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Solution

The fourth proportional to 33,640.16, 50,461.40 and 17,823.80 is: 26,736.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,640.16 : 50,461.40 = 17,823.80 : x
  2. Step 2: Convert to fraction form
    33,640.16/50,461.40 = 17,823.80/x
  3. Step 3: Cross multiply
    33,640.16x = 50,461.40 × 17,823.80
  4. Step 4: Simplify right side
    33,640.16x = 899,413,686.05
  5. Step 5: Solve for x
    x = 899,413,686.05/33,640.16
  6. Step 6: Final answer
    x = 26,736.31

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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.