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Finding the Fourth Proportional to 75,273.78, 103,792.14 and 61,618.38

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Solution

The fourth proportional to 75,273.78, 103,792.14 and 61,618.38 is: 84,963.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,273.78 : 103,792.14 = 61,618.38 : x
  2. Step 2: Convert to fraction form
    75,273.78/103,792.14 = 61,618.38/x
  3. Step 3: Cross multiply
    75,273.78x = 103,792.14 × 61,618.38
  4. Step 4: Simplify right side
    75,273.78x = 6,395,503,523.53
  5. Step 5: Solve for x
    x = 6,395,503,523.53/75,273.78
  6. Step 6: Final answer
    x = 84,963.23

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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.