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Finding the Fourth Proportional to 67,082, 92,575.32 and 37,274

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Solution

The fourth proportional to 67,082, 92,575.32 and 37,274 is: 51,439.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,082 : 92,575.32 = 37,274 : x
  2. Step 2: Convert to fraction form
    67,082/92,575.32 = 37,274/x
  3. Step 3: Cross multiply
    67,082x = 92,575.32 × 37,274
  4. Step 4: Simplify right side
    67,082x = 3,450,652,477.68
  5. Step 5: Solve for x
    x = 3,450,652,477.68/67,082
  6. Step 6: Final answer
    x = 51,439.32

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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.