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Finding the Fourth Proportional to 36,122.99, 54,179.01 and 9,829.78

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Solution

The fourth proportional to 36,122.99, 54,179.01 and 9,829.78 is: 14,743.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,122.99 : 54,179.01 = 9,829.78 : x
  2. Step 2: Convert to fraction form
    36,122.99/54,179.01 = 9,829.78/x
  3. Step 3: Cross multiply
    36,122.99x = 54,179.01 × 9,829.78
  4. Step 4: Simplify right side
    36,122.99x = 532,567,613.47
  5. Step 5: Solve for x
    x = 532,567,613.47/36,122.99
  6. Step 6: Final answer
    x = 14,743.18

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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.