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Finding the Fourth Proportional to 82,161.27, 113,382.13 and 45,860.64

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Solution

The fourth proportional to 82,161.27, 113,382.13 and 45,860.64 is: 63,287.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,161.27 : 113,382.13 = 45,860.64 : x
  2. Step 2: Convert to fraction form
    82,161.27/113,382.13 = 45,860.64/x
  3. Step 3: Cross multiply
    82,161.27x = 113,382.13 × 45,860.64
  4. Step 4: Simplify right side
    82,161.27x = 5,199,777,046.36
  5. Step 5: Solve for x
    x = 5,199,777,046.36/82,161.27
  6. Step 6: Final answer
    x = 63,287.45

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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.