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Finding the Fourth Proportional to 33,963.64, 50,913.99 and 12,897.36

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Solution

The fourth proportional to 33,963.64, 50,913.99 and 12,897.36 is: 19,334.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,963.64 : 50,913.99 = 12,897.36 : x
  2. Step 2: Convert to fraction form
    33,963.64/50,913.99 = 12,897.36/x
  3. Step 3: Cross multiply
    33,963.64x = 50,913.99 × 12,897.36
  4. Step 4: Simplify right side
    33,963.64x = 656,656,058.07
  5. Step 5: Solve for x
    x = 656,656,058.07/33,963.64
  6. Step 6: Final answer
    x = 19,334.09

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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.