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Finding the Fourth Proportional to 82,632.56, 114,033.16 and 44,906.96

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Solution

The fourth proportional to 82,632.56, 114,033.16 and 44,906.96 is: 61,971.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,632.56 : 114,033.16 = 44,906.96 : x
  2. Step 2: Convert to fraction form
    82,632.56/114,033.16 = 44,906.96/x
  3. Step 3: Cross multiply
    82,632.56x = 114,033.16 × 44,906.96
  4. Step 4: Simplify right side
    82,632.56x = 5,120,882,554.79
  5. Step 5: Solve for x
    x = 5,120,882,554.79/82,632.56
  6. Step 6: Final answer
    x = 61,971.73

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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.