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Finding the Fourth Proportional to 82,049.50, 113,228.32 and 44,323.76

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Solution

The fourth proportional to 82,049.50, 113,228.32 and 44,323.76 is: 61,166.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,049.50 : 113,228.32 = 44,323.76 : x
  2. Step 2: Convert to fraction form
    82,049.50/113,228.32 = 44,323.76/x
  3. Step 3: Cross multiply
    82,049.50x = 113,228.32 × 44,323.76
  4. Step 4: Simplify right side
    82,049.50x = 5,018,704,880.88
  5. Step 5: Solve for x
    x = 5,018,704,880.88/82,049.50
  6. Step 6: Final answer
    x = 61,166.79

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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.