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Finding the Fourth Proportional to 33,980, 50,871.12 and 25,253.60

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Solution

The fourth proportional to 33,980, 50,871.12 and 25,253.60 is: 37,806.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,980 : 50,871.12 = 25,253.60 : x
  2. Step 2: Convert to fraction form
    33,980/50,871.12 = 25,253.60/x
  3. Step 3: Cross multiply
    33,980x = 50,871.12 × 25,253.60
  4. Step 4: Simplify right side
    33,980x = 1,284,678,916.03
  5. Step 5: Solve for x
    x = 1,284,678,916.03/33,980
  6. Step 6: Final answer
    x = 37,806.91

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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.