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Finding the Fourth Proportional to 75,568.40, 104,286.64 and 41,580.40

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Solution

The fourth proportional to 75,568.40, 104,286.64 and 41,580.40 is: 57,382.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,568.40 : 104,286.64 = 41,580.40 : x
  2. Step 2: Convert to fraction form
    75,568.40/104,286.64 = 41,580.40/x
  3. Step 3: Cross multiply
    75,568.40x = 104,286.64 × 41,580.40
  4. Step 4: Simplify right side
    75,568.40x = 4,336,280,205.86
  5. Step 5: Solve for x
    x = 4,336,280,205.86/75,568.40
  6. Step 6: Final answer
    x = 57,382.19

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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.