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Finding the Fourth Proportional to 41,798.92, 57,683.46 and 22,936

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Solution

The fourth proportional to 41,798.92, 57,683.46 and 22,936 is: 31,652.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,798.92 : 57,683.46 = 22,936 : x
  2. Step 2: Convert to fraction form
    41,798.92/57,683.46 = 22,936/x
  3. Step 3: Cross multiply
    41,798.92x = 57,683.46 × 22,936
  4. Step 4: Simplify right side
    41,798.92x = 1,323,027,838.56
  5. Step 5: Solve for x
    x = 1,323,027,838.56/41,798.92
  6. Step 6: Final answer
    x = 31,652.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.