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Finding the Fourth Proportional to 82,164.15, 113,356.26 and 53,908.11

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Solution

The fourth proportional to 82,164.15, 113,356.26 and 53,908.11 is: 74,373.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,164.15 : 113,356.26 = 53,908.11 : x
  2. Step 2: Convert to fraction form
    82,164.15/113,356.26 = 53,908.11/x
  3. Step 3: Cross multiply
    82,164.15x = 113,356.26 × 53,908.11
  4. Step 4: Simplify right side
    82,164.15x = 6,110,821,733.27
  5. Step 5: Solve for x
    x = 6,110,821,733.27/82,164.15
  6. Step 6: Final answer
    x = 74,373.33

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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.