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Finding the Fourth Proportional to 70,736.81, 106,082.69 and 23,343.08

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Solution

The fourth proportional to 70,736.81, 106,082.69 and 23,343.08 is: 35,007.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,736.81 : 106,082.69 = 23,343.08 : x
  2. Step 2: Convert to fraction form
    70,736.81/106,082.69 = 23,343.08/x
  3. Step 3: Cross multiply
    70,736.81x = 106,082.69 × 23,343.08
  4. Step 4: Simplify right side
    70,736.81x = 2,476,296,072.16
  5. Step 5: Solve for x
    x = 2,476,296,072.16/70,736.81
  6. Step 6: Final answer
    x = 35,007.18

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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.