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Finding the Fourth Proportional to 29,966, 44,956.20 and 11,498

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Solution

The fourth proportional to 29,966, 44,956.20 and 11,498 is: 17,249.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,966 : 44,956.20 = 11,498 : x
  2. Step 2: Convert to fraction form
    29,966/44,956.20 = 11,498/x
  3. Step 3: Cross multiply
    29,966x = 44,956.20 × 11,498
  4. Step 4: Simplify right side
    29,966x = 516,906,387.60
  5. Step 5: Solve for x
    x = 516,906,387.60/29,966
  6. Step 6: Final answer
    x = 17,249.76

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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.