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Finding the Fourth Proportional to 50,082, 69,115.44 and 27,726

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Solution

The fourth proportional to 50,082, 69,115.44 and 27,726 is: 38,263.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,082 : 69,115.44 = 27,726 : x
  2. Step 2: Convert to fraction form
    50,082/69,115.44 = 27,726/x
  3. Step 3: Cross multiply
    50,082x = 69,115.44 × 27,726
  4. Step 4: Simplify right side
    50,082x = 1,916,294,689.44
  5. Step 5: Solve for x
    x = 1,916,294,689.44/50,082
  6. Step 6: Final answer
    x = 38,263.14

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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.