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Finding the Fourth Proportional to 82,921.50, 124,401.69 and 27,517.50

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Solution

The fourth proportional to 82,921.50, 124,401.69 and 27,517.50 is: 41,282.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,921.50 : 124,401.69 = 27,517.50 : x
  2. Step 2: Convert to fraction form
    82,921.50/124,401.69 = 27,517.50/x
  3. Step 3: Cross multiply
    82,921.50x = 124,401.69 × 27,517.50
  4. Step 4: Simplify right side
    82,921.50x = 3,423,223,504.58
  5. Step 5: Solve for x
    x = 3,423,223,504.58/82,921.50
  6. Step 6: Final answer
    x = 41,282.70

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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.