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Finding the Fourth Proportional to 82,024.75, 113,194.18 and 44,299

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Solution

The fourth proportional to 82,024.75, 113,194.18 and 44,299 is: 61,132.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,024.75 : 113,194.18 = 44,299 : x
  2. Step 2: Convert to fraction form
    82,024.75/113,194.18 = 44,299/x
  3. Step 3: Cross multiply
    82,024.75x = 113,194.18 × 44,299
  4. Step 4: Simplify right side
    82,024.75x = 5,014,388,979.82
  5. Step 5: Solve for x
    x = 5,014,388,979.82/82,024.75
  6. Step 6: Final answer
    x = 61,132.63

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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.