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Finding the Fourth Proportional to 30,142.52, 41,586.72 and 18,201.32

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Solution

The fourth proportional to 30,142.52, 41,586.72 and 18,201.32 is: 25,111.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,142.52 : 41,586.72 = 18,201.32 : x
  2. Step 2: Convert to fraction form
    30,142.52/41,586.72 = 18,201.32/x
  3. Step 3: Cross multiply
    30,142.52x = 41,586.72 × 18,201.32
  4. Step 4: Simplify right side
    30,142.52x = 756,933,198.47
  5. Step 5: Solve for x
    x = 756,933,198.47/30,142.52
  6. Step 6: Final answer
    x = 25,111.81

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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.