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Finding the Fourth Proportional to 82,243.52, 113,498.81 and 50,406.26

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Solution

The fourth proportional to 82,243.52, 113,498.81 and 50,406.26 is: 69,562.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,243.52 : 113,498.81 = 50,406.26 : x
  2. Step 2: Convert to fraction form
    82,243.52/113,498.81 = 50,406.26/x
  3. Step 3: Cross multiply
    82,243.52x = 113,498.81 × 50,406.26
  4. Step 4: Simplify right side
    82,243.52x = 5,721,049,707.03
  5. Step 5: Solve for x
    x = 5,721,049,707.03/82,243.52
  6. Step 6: Final answer
    x = 69,562.32

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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.