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Finding the Fourth Proportional to 67,077.48, 92,560.52 and 40,215

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Solution

The fourth proportional to 67,077.48, 92,560.52 and 40,215 is: 55,492.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,077.48 : 92,560.52 = 40,215 : x
  2. Step 2: Convert to fraction form
    67,077.48/92,560.52 = 40,215/x
  3. Step 3: Cross multiply
    67,077.48x = 92,560.52 × 40,215
  4. Step 4: Simplify right side
    67,077.48x = 3,722,321,311.80
  5. Step 5: Solve for x
    x = 3,722,321,311.80/67,077.48
  6. Step 6: Final answer
    x = 55,492.86

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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.