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Finding the Fourth Proportional to 82,194.36, 113,421.75 and 50,358.93

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Solution

The fourth proportional to 82,194.36, 113,421.75 and 50,358.93 is: 69,491.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,194.36 : 113,421.75 = 50,358.93 : x
  2. Step 2: Convert to fraction form
    82,194.36/113,421.75 = 50,358.93/x
  3. Step 3: Cross multiply
    82,194.36x = 113,421.75 × 50,358.93
  4. Step 4: Simplify right side
    82,194.36x = 5,711,797,149.82
  5. Step 5: Solve for x
    x = 5,711,797,149.82/82,194.36
  6. Step 6: Final answer
    x = 69,491.36

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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.