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Finding the Fourth Proportional to 75,497.81, 104,115.38 and 49,610.82

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Solution

The fourth proportional to 75,497.81, 104,115.38 and 49,610.82 is: 68,415.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,497.81 : 104,115.38 = 49,610.82 : x
  2. Step 2: Convert to fraction form
    75,497.81/104,115.38 = 49,610.82/x
  3. Step 3: Cross multiply
    75,497.81x = 104,115.38 × 49,610.82
  4. Step 4: Simplify right side
    75,497.81x = 5,165,249,327.15
  5. Step 5: Solve for x
    x = 5,165,249,327.15/75,497.81
  6. Step 6: Final answer
    x = 68,415.88

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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.