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Finding the Fourth Proportional to 54,491.84, 81,737.24 and 32,289.23

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Solution

The fourth proportional to 54,491.84, 81,737.24 and 32,289.23 is: 48,433.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,491.84 : 81,737.24 = 32,289.23 : x
  2. Step 2: Convert to fraction form
    54,491.84/81,737.24 = 32,289.23/x
  3. Step 3: Cross multiply
    54,491.84x = 81,737.24 × 32,289.23
  4. Step 4: Simplify right side
    54,491.84x = 2,639,232,584.82
  5. Step 5: Solve for x
    x = 2,639,232,584.82/54,491.84
  6. Step 6: Final answer
    x = 48,433.54

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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.