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Finding the Fourth Proportional to 33,153, 49,729.50 and 11,265

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Solution

The fourth proportional to 33,153, 49,729.50 and 11,265 is: 16,897.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,153 : 49,729.50 = 11,265 : x
  2. Step 2: Convert to fraction form
    33,153/49,729.50 = 11,265/x
  3. Step 3: Cross multiply
    33,153x = 49,729.50 × 11,265
  4. Step 4: Simplify right side
    33,153x = 560,202,817.50
  5. Step 5: Solve for x
    x = 560,202,817.50/33,153
  6. Step 6: Final answer
    x = 16,897.50

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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.