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Finding the Fourth Proportional to 75,084.66, 103,617.01 and 41,550.90

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Solution

The fourth proportional to 75,084.66, 103,617.01 and 41,550.90 is: 57,340.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,084.66 : 103,617.01 = 41,550.90 : x
  2. Step 2: Convert to fraction form
    75,084.66/103,617.01 = 41,550.90/x
  3. Step 3: Cross multiply
    75,084.66x = 103,617.01 × 41,550.90
  4. Step 4: Simplify right side
    75,084.66x = 4,305,380,020.81
  5. Step 5: Solve for x
    x = 4,305,380,020.81/75,084.66
  6. Step 6: Final answer
    x = 57,340.34

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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.