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Finding the Fourth Proportional to 33,104.04, 49,655.64 and 8,144.40

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Solution

The fourth proportional to 33,104.04, 49,655.64 and 8,144.40 is: 12,216.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,104.04 : 49,655.64 = 8,144.40 : x
  2. Step 2: Convert to fraction form
    33,104.04/49,655.64 = 8,144.40/x
  3. Step 3: Cross multiply
    33,104.04x = 49,655.64 × 8,144.40
  4. Step 4: Simplify right side
    33,104.04x = 404,415,394.42
  5. Step 5: Solve for x
    x = 404,415,394.42/33,104.04
  6. Step 6: Final answer
    x = 12,216.50

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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.