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Finding the Fourth Proportional to 82,226.34, 113,472.62 and 44,500.58

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Solution

The fourth proportional to 82,226.34, 113,472.62 and 44,500.58 is: 61,410.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,226.34 : 113,472.62 = 44,500.58 : x
  2. Step 2: Convert to fraction form
    82,226.34/113,472.62 = 44,500.58/x
  3. Step 3: Cross multiply
    82,226.34x = 113,472.62 × 44,500.58
  4. Step 4: Simplify right side
    82,226.34x = 5,049,597,404.12
  5. Step 5: Solve for x
    x = 5,049,597,404.12/82,226.34
  6. Step 6: Final answer
    x = 61,410.95

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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.