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Finding the Fourth Proportional to 57,099.72, 85,664.10 and 22,029.96

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Solution

The fourth proportional to 57,099.72, 85,664.10 and 22,029.96 is: 33,050.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,099.72 : 85,664.10 = 22,029.96 : x
  2. Step 2: Convert to fraction form
    57,099.72/85,664.10 = 22,029.96/x
  3. Step 3: Cross multiply
    57,099.72x = 85,664.10 × 22,029.96
  4. Step 4: Simplify right side
    57,099.72x = 1,887,176,696.44
  5. Step 5: Solve for x
    x = 1,887,176,696.44/57,099.72
  6. Step 6: Final answer
    x = 33,050.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.