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Finding the Fourth Proportional to 54,737.19, 82,107.81 and 24,745.73

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Solution

The fourth proportional to 54,737.19, 82,107.81 and 24,745.73 is: 37,119.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,737.19 : 82,107.81 = 24,745.73 : x
  2. Step 2: Convert to fraction form
    54,737.19/82,107.81 = 24,745.73/x
  3. Step 3: Cross multiply
    54,737.19x = 82,107.81 × 24,745.73
  4. Step 4: Simplify right side
    54,737.19x = 2,031,817,286.61
  5. Step 5: Solve for x
    x = 2,031,817,286.61/54,737.19
  6. Step 6: Final answer
    x = 37,119.50

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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.