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Finding the Fourth Proportional to 36,976.50, 51,028.38 and 20,209.50

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Solution

The fourth proportional to 36,976.50, 51,028.38 and 20,209.50 is: 27,889.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,976.50 : 51,028.38 = 20,209.50 : x
  2. Step 2: Convert to fraction form
    36,976.50/51,028.38 = 20,209.50/x
  3. Step 3: Cross multiply
    36,976.50x = 51,028.38 × 20,209.50
  4. Step 4: Simplify right side
    36,976.50x = 1,031,258,045.61
  5. Step 5: Solve for x
    x = 1,031,258,045.61/36,976.50
  6. Step 6: Final answer
    x = 27,889.55

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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.