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Finding the Fourth Proportional to 55,639.54, 83,472.99 and 16,197

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Solution

The fourth proportional to 55,639.54, 83,472.99 and 16,197 is: 24,299.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,639.54 : 83,472.99 = 16,197 : x
  2. Step 2: Convert to fraction form
    55,639.54/83,472.99 = 16,197/x
  3. Step 3: Cross multiply
    55,639.54x = 83,472.99 × 16,197
  4. Step 4: Simplify right side
    55,639.54x = 1,352,012,019.03
  5. Step 5: Solve for x
    x = 1,352,012,019.03/55,639.54
  6. Step 6: Final answer
    x = 24,299.48

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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.