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Finding the Fourth Proportional to 82,355.27, 113,649.62 and 46,552.32

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Solution

The fourth proportional to 82,355.27, 113,649.62 and 46,552.32 is: 64,241.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,355.27 : 113,649.62 = 46,552.32 : x
  2. Step 2: Convert to fraction form
    82,355.27/113,649.62 = 46,552.32/x
  3. Step 3: Cross multiply
    82,355.27x = 113,649.62 × 46,552.32
  4. Step 4: Simplify right side
    82,355.27x = 5,290,653,245.36
  5. Step 5: Solve for x
    x = 5,290,653,245.36/82,355.27
  6. Step 6: Final answer
    x = 64,241.83

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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.