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Finding the Fourth Proportional to 36,921.20, 50,950.50 and 20,154.20

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Solution

The fourth proportional to 36,921.20, 50,950.50 and 20,154.20 is: 27,812.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,921.20 : 50,950.50 = 20,154.20 : x
  2. Step 2: Convert to fraction form
    36,921.20/50,950.50 = 20,154.20/x
  3. Step 3: Cross multiply
    36,921.20x = 50,950.50 × 20,154.20
  4. Step 4: Simplify right side
    36,921.20x = 1,026,866,567.10
  5. Step 5: Solve for x
    x = 1,026,866,567.10/36,921.20
  6. Step 6: Final answer
    x = 27,812.38

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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.