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Finding the Fourth Proportional to 83,325.98, 124,963.22 and 24,166

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Solution

The fourth proportional to 83,325.98, 124,963.22 and 24,166 is: 36,241.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,325.98 : 124,963.22 = 24,166 : x
  2. Step 2: Convert to fraction form
    83,325.98/124,963.22 = 24,166/x
  3. Step 3: Cross multiply
    83,325.98x = 124,963.22 × 24,166
  4. Step 4: Simplify right side
    83,325.98x = 3,019,861,174.52
  5. Step 5: Solve for x
    x = 3,019,861,174.52/83,325.98
  6. Step 6: Final answer
    x = 36,241.53

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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.