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Finding the Fourth Proportional to 30,082.50, 41,513.94 and 16,654.68

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Solution

The fourth proportional to 30,082.50, 41,513.94 and 16,654.68 is: 22,983.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,082.50 : 41,513.94 = 16,654.68 : x
  2. Step 2: Convert to fraction form
    30,082.50/41,513.94 = 16,654.68/x
  3. Step 3: Cross multiply
    30,082.50x = 41,513.94 × 16,654.68
  4. Step 4: Simplify right side
    30,082.50x = 691,401,386.24
  5. Step 5: Solve for x
    x = 691,401,386.24/30,082.50
  6. Step 6: Final answer
    x = 22,983.51

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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.