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Finding the Fourth Proportional to 73,792.43, 101,833.21 and 40,258.43

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Solution

The fourth proportional to 73,792.43, 101,833.21 and 40,258.43 is: 55,556.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,792.43 : 101,833.21 = 40,258.43 : x
  2. Step 2: Convert to fraction form
    73,792.43/101,833.21 = 40,258.43/x
  3. Step 3: Cross multiply
    73,792.43x = 101,833.21 × 40,258.43
  4. Step 4: Simplify right side
    73,792.43x = 4,099,645,156.46
  5. Step 5: Solve for x
    x = 4,099,645,156.46/73,792.43
  6. Step 6: Final answer
    x = 55,556.45

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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.