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Finding the Fourth Proportional to 36,198.69, 54,298.08 and 9,903.66

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Solution

The fourth proportional to 36,198.69, 54,298.08 and 9,903.66 is: 14,855.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,198.69 : 54,298.08 = 9,903.66 : x
  2. Step 2: Convert to fraction form
    36,198.69/54,298.08 = 9,903.66/x
  3. Step 3: Cross multiply
    36,198.69x = 54,298.08 × 9,903.66
  4. Step 4: Simplify right side
    36,198.69x = 537,749,722.97
  5. Step 5: Solve for x
    x = 537,749,722.97/36,198.69
  6. Step 6: Final answer
    x = 14,855.50

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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.