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Finding the Fourth Proportional to 82,217.32, 113,460.20 and 44,491.56

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Solution

The fourth proportional to 82,217.32, 113,460.20 and 44,491.56 is: 61,398.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,217.32 : 113,460.20 = 44,491.56 : x
  2. Step 2: Convert to fraction form
    82,217.32/113,460.20 = 44,491.56/x
  3. Step 3: Cross multiply
    82,217.32x = 113,460.20 × 44,491.56
  4. Step 4: Simplify right side
    82,217.32x = 5,048,021,295.91
  5. Step 5: Solve for x
    x = 5,048,021,295.91/82,217.32
  6. Step 6: Final answer
    x = 61,398.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.