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Finding the Fourth Proportional to 32,961.49, 49,441.86 and 8,001.82

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Solution

The fourth proportional to 32,961.49, 49,441.86 and 8,001.82 is: 12,002.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,961.49 : 49,441.86 = 8,001.82 : x
  2. Step 2: Convert to fraction form
    32,961.49/49,441.86 = 8,001.82/x
  3. Step 3: Cross multiply
    32,961.49x = 49,441.86 × 8,001.82
  4. Step 4: Simplify right side
    32,961.49x = 395,624,864.19
  5. Step 5: Solve for x
    x = 395,624,864.19/32,961.49
  6. Step 6: Final answer
    x = 12,002.64

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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.