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Finding the Fourth Proportional to 41,204.40, 56,819.34 and 35,255.76

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Solution

The fourth proportional to 41,204.40, 56,819.34 and 35,255.76 is: 48,616.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,204.40 : 56,819.34 = 35,255.76 : x
  2. Step 2: Convert to fraction form
    41,204.40/56,819.34 = 35,255.76/x
  3. Step 3: Cross multiply
    41,204.40x = 56,819.34 × 35,255.76
  4. Step 4: Simplify right side
    41,204.40x = 2,003,209,014.40
  5. Step 5: Solve for x
    x = 2,003,209,014.40/41,204.40
  6. Step 6: Final answer
    x = 48,616.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.