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Finding the Fourth Proportional to 30,199.55, 41,668.65 and 18,262.64

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Solution

The fourth proportional to 30,199.55, 41,668.65 and 18,262.64 is: 25,198.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,199.55 : 41,668.65 = 18,262.64 : x
  2. Step 2: Convert to fraction form
    30,199.55/41,668.65 = 18,262.64/x
  3. Step 3: Cross multiply
    30,199.55x = 41,668.65 × 18,262.64
  4. Step 4: Simplify right side
    30,199.55x = 760,979,658.41
  5. Step 5: Solve for x
    x = 760,979,658.41/30,199.55
  6. Step 6: Final answer
    x = 25,198.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.