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Finding the Fourth Proportional to 36,963, 51,010.02 and 20,197.08

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Solution

The fourth proportional to 36,963, 51,010.02 and 20,197.08 is: 27,872.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,963 : 51,010.02 = 20,197.08 : x
  2. Step 2: Convert to fraction form
    36,963/51,010.02 = 20,197.08/x
  3. Step 3: Cross multiply
    36,963x = 51,010.02 × 20,197.08
  4. Step 4: Simplify right side
    36,963x = 1,030,253,454.74
  5. Step 5: Solve for x
    x = 1,030,253,454.74/36,963
  6. Step 6: Final answer
    x = 27,872.56

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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.