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Finding the Fourth Proportional to 75,084.16, 103,616.32 and 41,550.40

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Solution

The fourth proportional to 75,084.16, 103,616.32 and 41,550.40 is: 57,339.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,084.16 : 103,616.32 = 41,550.40 : x
  2. Step 2: Convert to fraction form
    75,084.16/103,616.32 = 41,550.40/x
  3. Step 3: Cross multiply
    75,084.16x = 103,616.32 × 41,550.40
  4. Step 4: Simplify right side
    75,084.16x = 4,305,299,542.53
  5. Step 5: Solve for x
    x = 4,305,299,542.53/75,084.16
  6. Step 6: Final answer
    x = 57,339.65

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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.