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Finding the Fourth Proportional to 82,755.87, 114,185.76 and 52,505.61

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Solution

The fourth proportional to 82,755.87, 114,185.76 and 52,505.61 is: 72,446.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,755.87 : 114,185.76 = 52,505.61 : x
  2. Step 2: Convert to fraction form
    82,755.87/114,185.76 = 52,505.61/x
  3. Step 3: Cross multiply
    82,755.87x = 114,185.76 × 52,505.61
  4. Step 4: Simplify right side
    82,755.87x = 5,995,392,982.11
  5. Step 5: Solve for x
    x = 5,995,392,982.11/82,755.87
  6. Step 6: Final answer
    x = 72,446.74

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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.