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Finding the Fourth Proportional to 52,909.86, 79,364.78 and 41,231.82

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Solution

The fourth proportional to 52,909.86, 79,364.78 and 41,231.82 is: 61,847.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,909.86 : 79,364.78 = 41,231.82 : x
  2. Step 2: Convert to fraction form
    52,909.86/79,364.78 = 41,231.82/x
  3. Step 3: Cross multiply
    52,909.86x = 79,364.78 × 41,231.82
  4. Step 4: Simplify right side
    52,909.86x = 3,272,354,323.30
  5. Step 5: Solve for x
    x = 3,272,354,323.30/52,909.86
  6. Step 6: Final answer
    x = 61,847.72

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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.