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Finding the Fourth Proportional to 114,082.72, 171,072.24 and 35,182.24

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Solution

The fourth proportional to 114,082.72, 171,072.24 and 35,182.24 is: 52,757.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,082.72 : 171,072.24 = 35,182.24 : x
  2. Step 2: Convert to fraction form
    114,082.72/171,072.24 = 35,182.24/x
  3. Step 3: Cross multiply
    114,082.72x = 171,072.24 × 35,182.24
  4. Step 4: Simplify right side
    114,082.72x = 6,018,704,605.02
  5. Step 5: Solve for x
    x = 6,018,704,605.02/114,082.72
  6. Step 6: Final answer
    x = 52,757.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.