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Finding the Fourth Proportional to 82,887.72, 114,385.14 and 45,162

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Solution

The fourth proportional to 82,887.72, 114,385.14 and 45,162 is: 62,323.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,887.72 : 114,385.14 = 45,162 : x
  2. Step 2: Convert to fraction form
    82,887.72/114,385.14 = 45,162/x
  3. Step 3: Cross multiply
    82,887.72x = 114,385.14 × 45,162
  4. Step 4: Simplify right side
    82,887.72x = 5,165,861,692.68
  5. Step 5: Solve for x
    x = 5,165,861,692.68/82,887.72
  6. Step 6: Final answer
    x = 62,323.61

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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.