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Finding the Fourth Proportional to 82,163.98, 113,376.54 and 46,351.90

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Solution

The fourth proportional to 82,163.98, 113,376.54 and 46,351.90 is: 63,960.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,163.98 : 113,376.54 = 46,351.90 : x
  2. Step 2: Convert to fraction form
    82,163.98/113,376.54 = 46,351.90/x
  3. Step 3: Cross multiply
    82,163.98x = 113,376.54 × 46,351.90
  4. Step 4: Simplify right side
    82,163.98x = 5,255,218,044.43
  5. Step 5: Solve for x
    x = 5,255,218,044.43/82,163.98
  6. Step 6: Final answer
    x = 63,960.12

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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.