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Finding the Fourth Proportional to 29,770.88, 44,685.60 and 20,254

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Solution

The fourth proportional to 29,770.88, 44,685.60 and 20,254 is: 30,400.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,770.88 : 44,685.60 = 20,254 : x
  2. Step 2: Convert to fraction form
    29,770.88/44,685.60 = 20,254/x
  3. Step 3: Cross multiply
    29,770.88x = 44,685.60 × 20,254
  4. Step 4: Simplify right side
    29,770.88x = 905,062,142.40
  5. Step 5: Solve for x
    x = 905,062,142.40/29,770.88
  6. Step 6: Final answer
    x = 30,400.92

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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.