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Finding the Fourth Proportional to 36,967.72, 51,015.45 and 20,200.72

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Solution

The fourth proportional to 36,967.72, 51,015.45 and 20,200.72 is: 27,876.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,967.72 : 51,015.45 = 20,200.72 : x
  2. Step 2: Convert to fraction form
    36,967.72/51,015.45 = 20,200.72/x
  3. Step 3: Cross multiply
    36,967.72x = 51,015.45 × 20,200.72
  4. Step 4: Simplify right side
    36,967.72x = 1,030,548,821.12
  5. Step 5: Solve for x
    x = 1,030,548,821.12/36,967.72
  6. Step 6: Final answer
    x = 27,876.99

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1.5x scale

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.