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Finding the Fourth Proportional to 82,050, 113,229 and 44,324.25

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Solution

The fourth proportional to 82,050, 113,229 and 44,324.25 is: 61,167.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,050 : 113,229 = 44,324.25 : x
  2. Step 2: Convert to fraction form
    82,050/113,229 = 44,324.25/x
  3. Step 3: Cross multiply
    82,050x = 113,229 × 44,324.25
  4. Step 4: Simplify right side
    82,050x = 5,018,790,503.25
  5. Step 5: Solve for x
    x = 5,018,790,503.25/82,050
  6. Step 6: Final answer
    x = 61,167.47

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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.