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Finding the Fourth Proportional to 33,978.64, 50,963.36 and 12,924

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Solution

The fourth proportional to 33,978.64, 50,963.36 and 12,924 is: 19,384.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,978.64 : 50,963.36 = 12,924 : x
  2. Step 2: Convert to fraction form
    33,978.64/50,963.36 = 12,924/x
  3. Step 3: Cross multiply
    33,978.64x = 50,963.36 × 12,924
  4. Step 4: Simplify right side
    33,978.64x = 658,650,464.64
  5. Step 5: Solve for x
    x = 658,650,464.64/33,978.64
  6. Step 6: Final answer
    x = 19,384.25

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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.