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Finding the Fourth Proportional to 106,322.82, 146,729.28 and 58,579.80

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Solution

The fourth proportional to 106,322.82, 146,729.28 and 58,579.80 is: 80,842.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,322.82 : 146,729.28 = 58,579.80 : x
  2. Step 2: Convert to fraction form
    106,322.82/146,729.28 = 58,579.80/x
  3. Step 3: Cross multiply
    106,322.82x = 146,729.28 × 58,579.80
  4. Step 4: Simplify right side
    106,322.82x = 8,595,371,876.54
  5. Step 5: Solve for x
    x = 8,595,371,876.54/106,322.82
  6. Step 6: Final answer
    x = 80,842.21

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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.