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Finding the Fourth Proportional to 83,233.46, 124,824.27 and 27,816.50

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Solution

The fourth proportional to 83,233.46, 124,824.27 and 27,816.50 is: 41,716.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,233.46 : 124,824.27 = 27,816.50 : x
  2. Step 2: Convert to fraction form
    83,233.46/124,824.27 = 27,816.50/x
  3. Step 3: Cross multiply
    83,233.46x = 124,824.27 × 27,816.50
  4. Step 4: Simplify right side
    83,233.46x = 3,472,174,306.46
  5. Step 5: Solve for x
    x = 3,472,174,306.46/83,233.46
  6. Step 6: Final answer
    x = 41,716.09

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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.