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Finding the Fourth Proportional to 76,324.14, 105,235.77 and 49,456.84

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Solution

The fourth proportional to 76,324.14, 105,235.77 and 49,456.84 is: 68,191.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,324.14 : 105,235.77 = 49,456.84 : x
  2. Step 2: Convert to fraction form
    76,324.14/105,235.77 = 49,456.84/x
  3. Step 3: Cross multiply
    76,324.14x = 105,235.77 × 49,456.84
  4. Step 4: Simplify right side
    76,324.14x = 5,204,628,639.17
  5. Step 5: Solve for x
    x = 5,204,628,639.17/76,324.14
  6. Step 6: Final answer
    x = 68,191.12

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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.