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Finding the Fourth Proportional to 30,186.41, 41,662.01 and 28,857.47

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Solution

The fourth proportional to 30,186.41, 41,662.01 and 28,857.47 is: 39,827.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,186.41 : 41,662.01 = 28,857.47 : x
  2. Step 2: Convert to fraction form
    30,186.41/41,662.01 = 28,857.47/x
  3. Step 3: Cross multiply
    30,186.41x = 41,662.01 × 28,857.47
  4. Step 4: Simplify right side
    30,186.41x = 1,202,260,067.55
  5. Step 5: Solve for x
    x = 1,202,260,067.55/30,186.41
  6. Step 6: Final answer
    x = 39,827.87

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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.