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Finding the Fourth Proportional to 76,363.84, 114,601.26 and 57,667

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Solution

The fourth proportional to 76,363.84, 114,601.26 and 57,667 is: 86,542.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,363.84 : 114,601.26 = 57,667 : x
  2. Step 2: Convert to fraction form
    76,363.84/114,601.26 = 57,667/x
  3. Step 3: Cross multiply
    76,363.84x = 114,601.26 × 57,667
  4. Step 4: Simplify right side
    76,363.84x = 6,608,710,860.42
  5. Step 5: Solve for x
    x = 6,608,710,860.42/76,363.84
  6. Step 6: Final answer
    x = 86,542.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.