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Finding the Fourth Proportional to 69,082.65, 95,333.94 and 38,868

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Solution

The fourth proportional to 69,082.65, 95,333.94 and 38,868 is: 53,637.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,082.65 : 95,333.94 = 38,868 : x
  2. Step 2: Convert to fraction form
    69,082.65/95,333.94 = 38,868/x
  3. Step 3: Cross multiply
    69,082.65x = 95,333.94 × 38,868
  4. Step 4: Simplify right side
    69,082.65x = 3,705,439,579.92
  5. Step 5: Solve for x
    x = 3,705,439,579.92/69,082.65
  6. Step 6: Final answer
    x = 53,637.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.