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Finding the Fourth Proportional to 53,082.60, 73,240.72 and 34,197

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Solution

The fourth proportional to 53,082.60, 73,240.72 and 34,197 is: 47,183.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,082.60 : 73,240.72 = 34,197 : x
  2. Step 2: Convert to fraction form
    53,082.60/73,240.72 = 34,197/x
  3. Step 3: Cross multiply
    53,082.60x = 73,240.72 × 34,197
  4. Step 4: Simplify right side
    53,082.60x = 2,504,612,901.84
  5. Step 5: Solve for x
    x = 2,504,612,901.84/53,082.60
  6. Step 6: Final answer
    x = 47,183.31

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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.