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Finding the Fourth Proportional to 72,993.96, 100,714.41 and 41,156.70

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Solution

The fourth proportional to 72,993.96, 100,714.41 and 41,156.70 is: 56,786.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,993.96 : 100,714.41 = 41,156.70 : x
  2. Step 2: Convert to fraction form
    72,993.96/100,714.41 = 41,156.70/x
  3. Step 3: Cross multiply
    72,993.96x = 100,714.41 × 41,156.70
  4. Step 4: Simplify right side
    72,993.96x = 4,145,072,758.05
  5. Step 5: Solve for x
    x = 4,145,072,758.05/72,993.96
  6. Step 6: Final answer
    x = 56,786.52

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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.