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Finding the Fourth Proportional to 82,336.67, 113,580.78 and 50,081.16

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Solution

The fourth proportional to 82,336.67, 113,580.78 and 50,081.16 is: 69,085.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,336.67 : 113,580.78 = 50,081.16 : x
  2. Step 2: Convert to fraction form
    82,336.67/113,580.78 = 50,081.16/x
  3. Step 3: Cross multiply
    82,336.67x = 113,580.78 × 50,081.16
  4. Step 4: Simplify right side
    82,336.67x = 5,688,257,097.04
  5. Step 5: Solve for x
    x = 5,688,257,097.04/82,336.67
  6. Step 6: Final answer
    x = 69,085.34

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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.