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Finding the Fourth Proportional to 106,372.48, 146,792.12 and 57,974.84

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Solution

The fourth proportional to 106,372.48, 146,792.12 and 57,974.84 is: 80,004.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,372.48 : 146,792.12 = 57,974.84 : x
  2. Step 2: Convert to fraction form
    106,372.48/146,792.12 = 57,974.84/x
  3. Step 3: Cross multiply
    106,372.48x = 146,792.12 × 57,974.84
  4. Step 4: Simplify right side
    106,372.48x = 8,510,249,380.39
  5. Step 5: Solve for x
    x = 8,510,249,380.39/106,372.48
  6. Step 6: Final answer
    x = 80,004.24

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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.