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Finding the Fourth Proportional to 82,227.34, 113,474 and 44,501.58

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Solution

The fourth proportional to 82,227.34, 113,474 and 44,501.58 is: 61,412.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,227.34 : 113,474 = 44,501.58 : x
  2. Step 2: Convert to fraction form
    82,227.34/113,474 = 44,501.58/x
  3. Step 3: Cross multiply
    82,227.34x = 113,474 × 44,501.58
  4. Step 4: Simplify right side
    82,227.34x = 5,049,772,288.92
  5. Step 5: Solve for x
    x = 5,049,772,288.92/82,227.34
  6. Step 6: Final answer
    x = 61,412.33

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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.