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Finding the Fourth Proportional to 73,133.82, 109,709.82 and 25,737.84

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Solution

The fourth proportional to 73,133.82, 109,709.82 and 25,737.84 is: 38,609.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,133.82 : 109,709.82 = 25,737.84 : x
  2. Step 2: Convert to fraction form
    73,133.82/109,709.82 = 25,737.84/x
  3. Step 3: Cross multiply
    73,133.82x = 109,709.82 × 25,737.84
  4. Step 4: Simplify right side
    73,133.82x = 2,823,693,793.59
  5. Step 5: Solve for x
    x = 2,823,693,793.59/73,133.82
  6. Step 6: Final answer
    x = 38,609.96

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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.