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Finding the Fourth Proportional to 41,193.40, 61,919.70 and 40,415.80

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Solution

The fourth proportional to 41,193.40, 61,919.70 and 40,415.80 is: 60,750.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,193.40 : 61,919.70 = 40,415.80 : x
  2. Step 2: Convert to fraction form
    41,193.40/61,919.70 = 40,415.80/x
  3. Step 3: Cross multiply
    41,193.40x = 61,919.70 × 40,415.80
  4. Step 4: Simplify right side
    41,193.40x = 2,502,534,211.26
  5. Step 5: Solve for x
    x = 2,502,534,211.26/41,193.40
  6. Step 6: Final answer
    x = 60,750.85

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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.