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Finding the Fourth Proportional to 82,469, 113,807.22 and 44,743.26

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Solution

The fourth proportional to 82,469, 113,807.22 and 44,743.26 is: 61,745.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,469 : 113,807.22 = 44,743.26 : x
  2. Step 2: Convert to fraction form
    82,469/113,807.22 = 44,743.26/x
  3. Step 3: Cross multiply
    82,469x = 113,807.22 × 44,743.26
  4. Step 4: Simplify right side
    82,469x = 5,092,106,034.34
  5. Step 5: Solve for x
    x = 5,092,106,034.34/82,469
  6. Step 6: Final answer
    x = 61,745.70

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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.