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Finding the Fourth Proportional to 82,564.86, 113,940.09 and 44,839.11

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Solution

The fourth proportional to 82,564.86, 113,940.09 and 44,839.11 is: 61,878.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,564.86 : 113,940.09 = 44,839.11 : x
  2. Step 2: Convert to fraction form
    82,564.86/113,940.09 = 44,839.11/x
  3. Step 3: Cross multiply
    82,564.86x = 113,940.09 × 44,839.11
  4. Step 4: Simplify right side
    82,564.86x = 5,108,972,228.92
  5. Step 5: Solve for x
    x = 5,108,972,228.92/82,564.86
  6. Step 6: Final answer
    x = 61,878.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.