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Finding the Fourth Proportional to 20,054.45, 30,061.81 and 9,505.82

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Solution

The fourth proportional to 20,054.45, 30,061.81 and 9,505.82 is: 14,249.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,054.45 : 30,061.81 = 9,505.82 : x
  2. Step 2: Convert to fraction form
    20,054.45/30,061.81 = 9,505.82/x
  3. Step 3: Cross multiply
    20,054.45x = 30,061.81 × 9,505.82
  4. Step 4: Simplify right side
    20,054.45x = 285,762,154.73
  5. Step 5: Solve for x
    x = 285,762,154.73/20,054.45
  6. Step 6: Final answer
    x = 14,249.31

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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.