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Finding the Fourth Proportional to 82,115.71, 113,350.49 and 53,823.22

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Solution

The fourth proportional to 82,115.71, 113,350.49 and 53,823.22 is: 74,296.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,115.71 : 113,350.49 = 53,823.22 : x
  2. Step 2: Convert to fraction form
    82,115.71/113,350.49 = 53,823.22/x
  3. Step 3: Cross multiply
    82,115.71x = 113,350.49 × 53,823.22
  4. Step 4: Simplify right side
    82,115.71x = 6,100,888,009.72
  5. Step 5: Solve for x
    x = 6,100,888,009.72/82,115.71
  6. Step 6: Final answer
    x = 74,296.24

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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.