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Finding the Fourth Proportional to 82,065, 113,221.42 and 49,809.78

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Solution

The fourth proportional to 82,065, 113,221.42 and 49,809.78 is: 68,720.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,065 : 113,221.42 = 49,809.78 : x
  2. Step 2: Convert to fraction form
    82,065/113,221.42 = 49,809.78/x
  3. Step 3: Cross multiply
    82,065x = 113,221.42 × 49,809.78
  4. Step 4: Simplify right side
    82,065x = 5,639,534,021.49
  5. Step 5: Solve for x
    x = 5,639,534,021.49/82,065
  6. Step 6: Final answer
    x = 68,720.33

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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.