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Finding the Fourth Proportional to 36,336.18, 50,082.24 and 27,719.40

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Solution

The fourth proportional to 36,336.18, 50,082.24 and 27,719.40 is: 38,205.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,336.18 : 50,082.24 = 27,719.40 : x
  2. Step 2: Convert to fraction form
    36,336.18/50,082.24 = 27,719.40/x
  3. Step 3: Cross multiply
    36,336.18x = 50,082.24 × 27,719.40
  4. Step 4: Simplify right side
    36,336.18x = 1,388,249,643.46
  5. Step 5: Solve for x
    x = 1,388,249,643.46/36,336.18
  6. Step 6: Final answer
    x = 38,205.71

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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.