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Finding the Fourth Proportional to 34,615.64, 47,738.22 and 22,674.62

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Solution

The fourth proportional to 34,615.64, 47,738.22 and 22,674.62 is: 31,270.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,615.64 : 47,738.22 = 22,674.62 : x
  2. Step 2: Convert to fraction form
    34,615.64/47,738.22 = 22,674.62/x
  3. Step 3: Cross multiply
    34,615.64x = 47,738.22 × 22,674.62
  4. Step 4: Simplify right side
    34,615.64x = 1,082,445,997.98
  5. Step 5: Solve for x
    x = 1,082,445,997.98/34,615.64
  6. Step 6: Final answer
    x = 31,270.43

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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.