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Finding the Fourth Proportional to 82,225.43, 113,471.44 and 44,499.68

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Solution

The fourth proportional to 82,225.43, 113,471.44 and 44,499.68 is: 61,409.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,225.43 : 113,471.44 = 44,499.68 : x
  2. Step 2: Convert to fraction form
    82,225.43/113,471.44 = 44,499.68/x
  3. Step 3: Cross multiply
    82,225.43x = 113,471.44 × 44,499.68
  4. Step 4: Simplify right side
    82,225.43x = 5,049,442,769.14
  5. Step 5: Solve for x
    x = 5,049,442,769.14/82,225.43
  6. Step 6: Final answer
    x = 61,409.75

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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.