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Finding the Fourth Proportional to 36,886.71, 50,904 and 20,119.71

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Solution

The fourth proportional to 36,886.71, 50,904 and 20,119.71 is: 27,765.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,886.71 : 50,904 = 20,119.71 : x
  2. Step 2: Convert to fraction form
    36,886.71/50,904 = 20,119.71/x
  3. Step 3: Cross multiply
    36,886.71x = 50,904 × 20,119.71
  4. Step 4: Simplify right side
    36,886.71x = 1,024,173,717.84
  5. Step 5: Solve for x
    x = 1,024,173,717.84/36,886.71
  6. Step 6: Final answer
    x = 27,765.39

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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.