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Finding the Fourth Proportional to 59,883.92, 82,647.50 and 49,795

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Solution

The fourth proportional to 59,883.92, 82,647.50 and 49,795 is: 68,723.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,883.92 : 82,647.50 = 49,795 : x
  2. Step 2: Convert to fraction form
    59,883.92/82,647.50 = 49,795/x
  3. Step 3: Cross multiply
    59,883.92x = 82,647.50 × 49,795
  4. Step 4: Simplify right side
    59,883.92x = 4,115,432,262.50
  5. Step 5: Solve for x
    x = 4,115,432,262.50/59,883.92
  6. Step 6: Final answer
    x = 68,723.49

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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.