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Finding the Fourth Proportional to 76,082, 104,993.52 and 42,548

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Solution

The fourth proportional to 76,082, 104,993.52 and 42,548 is: 58,716.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,082 : 104,993.52 = 42,548 : x
  2. Step 2: Convert to fraction form
    76,082/104,993.52 = 42,548/x
  3. Step 3: Cross multiply
    76,082x = 104,993.52 × 42,548
  4. Step 4: Simplify right side
    76,082x = 4,467,264,288.96
  5. Step 5: Solve for x
    x = 4,467,264,288.96/76,082
  6. Step 6: Final answer
    x = 58,716.44

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