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Finding the Fourth Proportional to 73,082.79, 109,640.79 and 23,166

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Solution

The fourth proportional to 73,082.79, 109,640.79 and 23,166 is: 34,754.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,082.79 : 109,640.79 = 23,166 : x
  2. Step 2: Convert to fraction form
    73,082.79/109,640.79 = 23,166/x
  3. Step 3: Cross multiply
    73,082.79x = 109,640.79 × 23,166
  4. Step 4: Simplify right side
    73,082.79x = 2,539,938,541.14
  5. Step 5: Solve for x
    x = 2,539,938,541.14/73,082.79
  6. Step 6: Final answer
    x = 34,754.26

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Why These Related Problems?

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