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Finding the Fourth Proportional to 33,305.21, 49,956.64 and 8,345.47

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Solution

The fourth proportional to 33,305.21, 49,956.64 and 8,345.47 is: 12,517.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,305.21 : 49,956.64 = 8,345.47 : x
  2. Step 2: Convert to fraction form
    33,305.21/49,956.64 = 8,345.47/x
  3. Step 3: Cross multiply
    33,305.21x = 49,956.64 × 8,345.47
  4. Step 4: Simplify right side
    33,305.21x = 416,911,640.42
  5. Step 5: Solve for x
    x = 416,911,640.42/33,305.21
  6. Step 6: Final answer
    x = 12,517.91

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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.