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Finding the Fourth Proportional to 82,199.89, 113,423.69 and 49,917.72

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Solution

The fourth proportional to 82,199.89, 113,423.69 and 49,917.72 is: 68,879.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,199.89 : 113,423.69 = 49,917.72 : x
  2. Step 2: Convert to fraction form
    82,199.89/113,423.69 = 49,917.72/x
  3. Step 3: Cross multiply
    82,199.89x = 113,423.69 × 49,917.72
  4. Step 4: Simplify right side
    82,199.89x = 5,661,852,408.53
  5. Step 5: Solve for x
    x = 5,661,852,408.53/82,199.89
  6. Step 6: Final answer
    x = 68,879.07

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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.