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Finding the Fourth Proportional to 47,223, 65,167.74 and 26,002.22

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Solution

The fourth proportional to 47,223, 65,167.74 and 26,002.22 is: 35,883.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,223 : 65,167.74 = 26,002.22 : x
  2. Step 2: Convert to fraction form
    47,223/65,167.74 = 26,002.22/x
  3. Step 3: Cross multiply
    47,223x = 65,167.74 × 26,002.22
  4. Step 4: Simplify right side
    47,223x = 1,694,505,586.54
  5. Step 5: Solve for x
    x = 1,694,505,586.54/47,223
  6. Step 6: Final answer
    x = 35,883.06

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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.