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Finding the Fourth Proportional to 36,882.38, 50,904.32 and 21,774.16

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Solution

The fourth proportional to 36,882.38, 50,904.32 and 21,774.16 is: 30,052.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,882.38 : 50,904.32 = 21,774.16 : x
  2. Step 2: Convert to fraction form
    36,882.38/50,904.32 = 21,774.16/x
  3. Step 3: Cross multiply
    36,882.38x = 50,904.32 × 21,774.16
  4. Step 4: Simplify right side
    36,882.38x = 1,108,398,808.37
  5. Step 5: Solve for x
    x = 1,108,398,808.37/36,882.38
  6. Step 6: Final answer
    x = 30,052.26

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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.