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Finding the Fourth Proportional to 33,063, 49,594.77 and 12,286.50

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Solution

The fourth proportional to 33,063, 49,594.77 and 12,286.50 is: 18,429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,063 : 49,594.77 = 12,286.50 : x
  2. Step 2: Convert to fraction form
    33,063/49,594.77 = 12,286.50/x
  3. Step 3: Cross multiply
    33,063x = 49,594.77 × 12,286.50
  4. Step 4: Simplify right side
    33,063x = 609,346,141.61
  5. Step 5: Solve for x
    x = 609,346,141.61/33,063
  6. Step 6: Final answer
    x = 18,429.85

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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.