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Finding the Fourth Proportional to 49,648.80, 68,449.52 and 41,119.50

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Solution

The fourth proportional to 49,648.80, 68,449.52 and 41,119.50 is: 56,690.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,648.80 : 68,449.52 = 41,119.50 : x
  2. Step 2: Convert to fraction form
    49,648.80/68,449.52 = 41,119.50/x
  3. Step 3: Cross multiply
    49,648.80x = 68,449.52 × 41,119.50
  4. Step 4: Simplify right side
    49,648.80x = 2,814,610,037.64
  5. Step 5: Solve for x
    x = 2,814,610,037.64/49,648.80
  6. Step 6: Final answer
    x = 56,690.39

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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.