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Finding the Fourth Proportional to 72,767.62, 100,418.90 and 40,936.78

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Solution

The fourth proportional to 72,767.62, 100,418.90 and 40,936.78 is: 56,492.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,767.62 : 100,418.90 = 40,936.78 : x
  2. Step 2: Convert to fraction form
    72,767.62/100,418.90 = 40,936.78/x
  3. Step 3: Cross multiply
    72,767.62x = 100,418.90 × 40,936.78
  4. Step 4: Simplify right side
    72,767.62x = 4,110,826,417.14
  5. Step 5: Solve for x
    x = 4,110,826,417.14/72,767.62
  6. Step 6: Final answer
    x = 56,492.52

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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.