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Finding the Fourth Proportional to 86,134.48, 129,202.72 and 22,954.24

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Solution

The fourth proportional to 86,134.48, 129,202.72 and 22,954.24 is: 34,431.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,134.48 : 129,202.72 = 22,954.24 : x
  2. Step 2: Convert to fraction form
    86,134.48/129,202.72 = 22,954.24/x
  3. Step 3: Cross multiply
    86,134.48x = 129,202.72 × 22,954.24
  4. Step 4: Simplify right side
    86,134.48x = 2,965,750,243.53
  5. Step 5: Solve for x
    x = 2,965,750,243.53/86,134.48
  6. Step 6: Final answer
    x = 34,431.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.