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Finding the Fourth Proportional to 82,324.26, 113,613.17 and 50,071.48

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Solution

The fourth proportional to 82,324.26, 113,613.17 and 50,071.48 is: 69,102.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,324.26 : 113,613.17 = 50,071.48 : x
  2. Step 2: Convert to fraction form
    82,324.26/113,613.17 = 50,071.48/x
  3. Step 3: Cross multiply
    82,324.26x = 113,613.17 × 50,071.48
  4. Step 4: Simplify right side
    82,324.26x = 5,688,779,035.00
  5. Step 5: Solve for x
    x = 5,688,779,035.00/82,324.26
  6. Step 6: Final answer
    x = 69,102.10

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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.