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Finding the Fourth Proportional to 29,711.46, 41,008.23 and 17,777.46

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Solution

The fourth proportional to 29,711.46, 41,008.23 and 17,777.46 is: 24,536.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,711.46 : 41,008.23 = 17,777.46 : x
  2. Step 2: Convert to fraction form
    29,711.46/41,008.23 = 17,777.46/x
  3. Step 3: Cross multiply
    29,711.46x = 41,008.23 × 17,777.46
  4. Step 4: Simplify right side
    29,711.46x = 729,022,168.50
  5. Step 5: Solve for x
    x = 729,022,168.50/29,711.46
  6. Step 6: Final answer
    x = 24,536.73

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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.