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Finding the Fourth Proportional to 30,199.42, 41,668.49 and 18,262.50

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Solution

The fourth proportional to 30,199.42, 41,668.49 and 18,262.50 is: 25,198.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,199.42 : 41,668.49 = 18,262.50 : x
  2. Step 2: Convert to fraction form
    30,199.42/41,668.49 = 18,262.50/x
  3. Step 3: Cross multiply
    30,199.42x = 41,668.49 × 18,262.50
  4. Step 4: Simplify right side
    30,199.42x = 760,970,798.63
  5. Step 5: Solve for x
    x = 760,970,798.63/30,199.42
  6. Step 6: Final answer
    x = 25,198.19

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