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Finding the Fourth Proportional to 82,511.50, 113,867.91 and 44,785.66

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Solution

The fourth proportional to 82,511.50, 113,867.91 and 44,785.66 is: 61,805.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,511.50 : 113,867.91 = 44,785.66 : x
  2. Step 2: Convert to fraction form
    82,511.50/113,867.91 = 44,785.66/x
  3. Step 3: Cross multiply
    82,511.50x = 113,867.91 × 44,785.66
  4. Step 4: Simplify right side
    82,511.50x = 5,099,649,502.17
  5. Step 5: Solve for x
    x = 5,099,649,502.17/82,511.50
  6. Step 6: Final answer
    x = 61,805.32

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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.