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Finding the Fourth Proportional to 82,213.26, 113,456.07 and 46,403.34

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Solution

The fourth proportional to 82,213.26, 113,456.07 and 46,403.34 is: 64,037.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,213.26 : 113,456.07 = 46,403.34 : x
  2. Step 2: Convert to fraction form
    82,213.26/113,456.07 = 46,403.34/x
  3. Step 3: Cross multiply
    82,213.26x = 113,456.07 × 46,403.34
  4. Step 4: Simplify right side
    82,213.26x = 5,264,740,591.27
  5. Step 5: Solve for x
    x = 5,264,740,591.27/82,213.26
  6. Step 6: Final answer
    x = 64,037.61

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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.