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Finding the Fourth Proportional to 82,507.68, 113,861.52 and 44,782.56

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Solution

The fourth proportional to 82,507.68, 113,861.52 and 44,782.56 is: 61,800.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,507.68 : 113,861.52 = 44,782.56 : x
  2. Step 2: Convert to fraction form
    82,507.68/113,861.52 = 44,782.56/x
  3. Step 3: Cross multiply
    82,507.68x = 113,861.52 × 44,782.56
  4. Step 4: Simplify right side
    82,507.68x = 5,099,010,351.09
  5. Step 5: Solve for x
    x = 5,099,010,351.09/82,507.68
  6. Step 6: Final answer
    x = 61,800.43

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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.