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Finding the Fourth Proportional to 33,287.00, 49,913.29 and 12,221.63

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Solution

The fourth proportional to 33,287.00, 49,913.29 and 12,221.63 is: 18,326.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,287.00 : 49,913.29 = 12,221.63 : x
  2. Step 2: Convert to fraction form
    33,287.00/49,913.29 = 12,221.63/x
  3. Step 3: Cross multiply
    33,287.00x = 49,913.29 × 12,221.63
  4. Step 4: Simplify right side
    33,287.00x = 610,021,927.36
  5. Step 5: Solve for x
    x = 610,021,927.36/33,287.00
  6. Step 6: Final answer
    x = 18,326.13

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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.