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Finding the Fourth Proportional to 33,892.64, 50,849.52 and 15,188.66

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Solution

The fourth proportional to 33,892.64, 50,849.52 and 15,188.66 is: 22,787.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,892.64 : 50,849.52 = 15,188.66 : x
  2. Step 2: Convert to fraction form
    33,892.64/50,849.52 = 15,188.66/x
  3. Step 3: Cross multiply
    33,892.64x = 50,849.52 × 15,188.66
  4. Step 4: Simplify right side
    33,892.64x = 772,336,070.44
  5. Step 5: Solve for x
    x = 772,336,070.44/33,892.64
  6. Step 6: Final answer
    x = 22,787.72

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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.