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Finding the Fourth Proportional to 64,045.76, 95,830.77 and 40,241.86

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Solution

The fourth proportional to 64,045.76, 95,830.77 and 40,241.86 is: 60,213.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,045.76 : 95,830.77 = 40,241.86 : x
  2. Step 2: Convert to fraction form
    64,045.76/95,830.77 = 40,241.86/x
  3. Step 3: Cross multiply
    64,045.76x = 95,830.77 × 40,241.86
  4. Step 4: Simplify right side
    64,045.76x = 3,856,408,767.23
  5. Step 5: Solve for x
    x = 3,856,408,767.23/64,045.76
  6. Step 6: Final answer
    x = 60,213.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.