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Finding the Fourth Proportional to 73,792.50, 101,833.55 and 40,258.50

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Solution

The fourth proportional to 73,792.50, 101,833.55 and 40,258.50 is: 55,556.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,792.50 : 101,833.55 = 40,258.50 : x
  2. Step 2: Convert to fraction form
    73,792.50/101,833.55 = 40,258.50/x
  3. Step 3: Cross multiply
    73,792.50x = 101,833.55 × 40,258.50
  4. Step 4: Simplify right side
    73,792.50x = 4,099,665,972.68
  5. Step 5: Solve for x
    x = 4,099,665,972.68/73,792.50
  6. Step 6: Final answer
    x = 55,556.68

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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.