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Finding the Fourth Proportional to 82,358.66, 113,654.96 and 44,632.91

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Solution

The fourth proportional to 82,358.66, 113,654.96 and 44,632.91 is: 61,593.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,358.66 : 113,654.96 = 44,632.91 : x
  2. Step 2: Convert to fraction form
    82,358.66/113,654.96 = 44,632.91/x
  3. Step 3: Cross multiply
    82,358.66x = 113,654.96 × 44,632.91
  4. Step 4: Simplify right side
    82,358.66x = 5,072,751,600.73
  5. Step 5: Solve for x
    x = 5,072,751,600.73/82,358.66
  6. Step 6: Final answer
    x = 61,593.42

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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.