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Finding the Fourth Proportional to 72,868.57, 100,558.92 and 41,038

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Solution

The fourth proportional to 72,868.57, 100,558.92 and 41,038 is: 56,632.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,868.57 : 100,558.92 = 41,038 : x
  2. Step 2: Convert to fraction form
    72,868.57/100,558.92 = 41,038/x
  3. Step 3: Cross multiply
    72,868.57x = 100,558.92 × 41,038
  4. Step 4: Simplify right side
    72,868.57x = 4,126,736,958.96
  5. Step 5: Solve for x
    x = 4,126,736,958.96/72,868.57
  6. Step 6: Final answer
    x = 56,632.61

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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.