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Finding the Fourth Proportional to 33,583.71, 50,338.62 and 13,851.48

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Solution

The fourth proportional to 33,583.71, 50,338.62 and 13,851.48 is: 20,761.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,583.71 : 50,338.62 = 13,851.48 : x
  2. Step 2: Convert to fraction form
    33,583.71/50,338.62 = 13,851.48/x
  3. Step 3: Cross multiply
    33,583.71x = 50,338.62 × 13,851.48
  4. Step 4: Simplify right side
    33,583.71x = 697,264,388.16
  5. Step 5: Solve for x
    x = 697,264,388.16/33,583.71
  6. Step 6: Final answer
    x = 20,761.98

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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.