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Finding the Fourth Proportional to 36,797, 50,780.04 and 20,030

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Solution

The fourth proportional to 36,797, 50,780.04 and 20,030 is: 27,641.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,797 : 50,780.04 = 20,030 : x
  2. Step 2: Convert to fraction form
    36,797/50,780.04 = 20,030/x
  3. Step 3: Cross multiply
    36,797x = 50,780.04 × 20,030
  4. Step 4: Simplify right side
    36,797x = 1,017,124,201.20
  5. Step 5: Solve for x
    x = 1,017,124,201.20/36,797
  6. Step 6: Final answer
    x = 27,641.50

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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.