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Finding the Fourth Proportional to 57,091.78, 78,803.50 and 33,229.06

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Solution

The fourth proportional to 57,091.78, 78,803.50 and 33,229.06 is: 45,865.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,091.78 : 78,803.50 = 33,229.06 : x
  2. Step 2: Convert to fraction form
    57,091.78/78,803.50 = 33,229.06/x
  3. Step 3: Cross multiply
    57,091.78x = 78,803.50 × 33,229.06
  4. Step 4: Simplify right side
    57,091.78x = 2,618,566,229.71
  5. Step 5: Solve for x
    x = 2,618,566,229.71/57,091.78
  6. Step 6: Final answer
    x = 45,865.91

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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.