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Finding the Fourth Proportional to 72,760.41, 100,408.41 and 40,929.30

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Solution

The fourth proportional to 72,760.41, 100,408.41 and 40,929.30 is: 56,481.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,760.41 : 100,408.41 = 40,929.30 : x
  2. Step 2: Convert to fraction form
    72,760.41/100,408.41 = 40,929.30/x
  3. Step 3: Cross multiply
    72,760.41x = 100,408.41 × 40,929.30
  4. Step 4: Simplify right side
    72,760.41x = 4,109,645,935.41
  5. Step 5: Solve for x
    x = 4,109,645,935.41/72,760.41
  6. Step 6: Final answer
    x = 56,481.90

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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.