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Finding the Fourth Proportional to 82,997.75, 114,503.06 and 57,861.83

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Solution

The fourth proportional to 82,997.75, 114,503.06 and 57,861.83 is: 79,825.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,997.75 : 114,503.06 = 57,861.83 : x
  2. Step 2: Convert to fraction form
    82,997.75/114,503.06 = 57,861.83/x
  3. Step 3: Cross multiply
    82,997.75x = 114,503.06 × 57,861.83
  4. Step 4: Simplify right side
    82,997.75x = 6,625,355,730.38
  5. Step 5: Solve for x
    x = 6,625,355,730.38/82,997.75
  6. Step 6: Final answer
    x = 79,825.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.