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Finding the Fourth Proportional to 73,082, 109,626.60 and 23,834

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Solution

The fourth proportional to 73,082, 109,626.60 and 23,834 is: 35,752.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,082 : 109,626.60 = 23,834 : x
  2. Step 2: Convert to fraction form
    73,082/109,626.60 = 23,834/x
  3. Step 3: Cross multiply
    73,082x = 109,626.60 × 23,834
  4. Step 4: Simplify right side
    73,082x = 2,612,840,384.40
  5. Step 5: Solve for x
    x = 2,612,840,384.40/73,082
  6. Step 6: Final answer
    x = 35,752.17

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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.