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Finding the Fourth Proportional to 82,489.69, 113,835.78 and 44,763.94

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Solution

The fourth proportional to 82,489.69, 113,835.78 and 44,763.94 is: 61,774.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,489.69 : 113,835.78 = 44,763.94 : x
  2. Step 2: Convert to fraction form
    82,489.69/113,835.78 = 44,763.94/x
  3. Step 3: Cross multiply
    82,489.69x = 113,835.78 × 44,763.94
  4. Step 4: Simplify right side
    82,489.69x = 5,095,738,168.07
  5. Step 5: Solve for x
    x = 5,095,738,168.07/82,489.69
  6. Step 6: Final answer
    x = 61,774.24

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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.