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Finding the Fourth Proportional to 82,487.26, 113,832.51 and 44,761.51

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Solution

The fourth proportional to 82,487.26, 113,832.51 and 44,761.51 is: 61,770.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,487.26 : 113,832.51 = 44,761.51 : x
  2. Step 2: Convert to fraction form
    82,487.26/113,832.51 = 44,761.51/x
  3. Step 3: Cross multiply
    82,487.26x = 113,832.51 × 44,761.51
  4. Step 4: Simplify right side
    82,487.26x = 5,095,315,034.69
  5. Step 5: Solve for x
    x = 5,095,315,034.69/82,487.26
  6. Step 6: Final answer
    x = 61,770.93

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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.