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Finding the Fourth Proportional to 82,543.69, 113,910.75 and 48,553.66

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Solution

The fourth proportional to 82,543.69, 113,910.75 and 48,553.66 is: 67,004.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,543.69 : 113,910.75 = 48,553.66 : x
  2. Step 2: Convert to fraction form
    82,543.69/113,910.75 = 48,553.66/x
  3. Step 3: Cross multiply
    82,543.69x = 113,910.75 × 48,553.66
  4. Step 4: Simplify right side
    82,543.69x = 5,530,783,825.85
  5. Step 5: Solve for x
    x = 5,530,783,825.85/82,543.69
  6. Step 6: Final answer
    x = 67,004.32

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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.