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Finding the Fourth Proportional to 82,009.50, 113,181.66 and 50,199.60

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Solution

The fourth proportional to 82,009.50, 113,181.66 and 50,199.60 is: 69,280.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,009.50 : 113,181.66 = 50,199.60 : x
  2. Step 2: Convert to fraction form
    82,009.50/113,181.66 = 50,199.60/x
  3. Step 3: Cross multiply
    82,009.50x = 113,181.66 × 50,199.60
  4. Step 4: Simplify right side
    82,009.50x = 5,681,674,059.34
  5. Step 5: Solve for x
    x = 5,681,674,059.34/82,009.50
  6. Step 6: Final answer
    x = 69,280.68

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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.