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Finding the Fourth Proportional to 82,334.92, 113,624.44 and 46,524.22

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Solution

The fourth proportional to 82,334.92, 113,624.44 and 46,524.22 is: 64,204.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,334.92 : 113,624.44 = 46,524.22 : x
  2. Step 2: Convert to fraction form
    82,334.92/113,624.44 = 46,524.22/x
  3. Step 3: Cross multiply
    82,334.92x = 113,624.44 × 46,524.22
  4. Step 4: Simplify right side
    82,334.92x = 5,286,288,443.94
  5. Step 5: Solve for x
    x = 5,286,288,443.94/82,334.92
  6. Step 6: Final answer
    x = 64,204.70

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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.