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Finding the Fourth Proportional to 33,153, 49,729.50 and 16,737

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Solution

The fourth proportional to 33,153, 49,729.50 and 16,737 is: 25,105.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,153 : 49,729.50 = 16,737 : x
  2. Step 2: Convert to fraction form
    33,153/49,729.50 = 16,737/x
  3. Step 3: Cross multiply
    33,153x = 49,729.50 × 16,737
  4. Step 4: Simplify right side
    33,153x = 832,322,641.50
  5. Step 5: Solve for x
    x = 832,322,641.50/33,153
  6. Step 6: Final answer
    x = 25,105.50

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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.