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Finding the Fourth Proportional to 30,471.89, 45,614.89 and 27,310.46

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Solution

The fourth proportional to 30,471.89, 45,614.89 and 27,310.46 is: 40,882.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,471.89 : 45,614.89 = 27,310.46 : x
  2. Step 2: Convert to fraction form
    30,471.89/45,614.89 = 27,310.46/x
  3. Step 3: Cross multiply
    30,471.89x = 45,614.89 × 27,310.46
  4. Step 4: Simplify right side
    30,471.89x = 1,245,763,492.20
  5. Step 5: Solve for x
    x = 1,245,763,492.20/30,471.89
  6. Step 6: Final answer
    x = 40,882.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.