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Finding the Fourth Proportional to 75,568.76, 104,284.86 and 41,576.52

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Solution

The fourth proportional to 75,568.76, 104,284.86 and 41,576.52 is: 57,375.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,568.76 : 104,284.86 = 41,576.52 : x
  2. Step 2: Convert to fraction form
    75,568.76/104,284.86 = 41,576.52/x
  3. Step 3: Cross multiply
    75,568.76x = 104,284.86 × 41,576.52
  4. Step 4: Simplify right side
    75,568.76x = 4,335,801,567.49
  5. Step 5: Solve for x
    x = 4,335,801,567.49/75,568.76
  6. Step 6: Final answer
    x = 57,375.59

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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.