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Finding the Fourth Proportional to 82,053.90, 113,234.36 and 44,328.15

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Solution

The fourth proportional to 82,053.90, 113,234.36 and 44,328.15 is: 61,172.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,053.90 : 113,234.36 = 44,328.15 : x
  2. Step 2: Convert to fraction form
    82,053.90/113,234.36 = 44,328.15/x
  3. Step 3: Cross multiply
    82,053.90x = 113,234.36 × 44,328.15
  4. Step 4: Simplify right side
    82,053.90x = 5,019,469,473.59
  5. Step 5: Solve for x
    x = 5,019,469,473.59/82,053.90
  6. Step 6: Final answer
    x = 61,172.83

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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.