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Finding the Fourth Proportional to 30,140.29, 41,593.56 and 18,201.40

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Solution

The fourth proportional to 30,140.29, 41,593.56 and 18,201.40 is: 25,117.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,140.29 : 41,593.56 = 18,201.40 : x
  2. Step 2: Convert to fraction form
    30,140.29/41,593.56 = 18,201.40/x
  3. Step 3: Cross multiply
    30,140.29x = 41,593.56 × 18,201.40
  4. Step 4: Simplify right side
    30,140.29x = 757,061,022.98
  5. Step 5: Solve for x
    x = 757,061,022.98/30,140.29
  6. Step 6: Final answer
    x = 25,117.91

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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.