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Finding the Fourth Proportional to 36,474.42, 54,719.22 and 15,414.48

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Solution

The fourth proportional to 36,474.42, 54,719.22 and 15,414.48 is: 23,124.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,474.42 : 54,719.22 = 15,414.48 : x
  2. Step 2: Convert to fraction form
    36,474.42/54,719.22 = 15,414.48/x
  3. Step 3: Cross multiply
    36,474.42x = 54,719.22 × 15,414.48
  4. Step 4: Simplify right side
    36,474.42x = 843,468,322.31
  5. Step 5: Solve for x
    x = 843,468,322.31/36,474.42
  6. Step 6: Final answer
    x = 23,124.93

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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.