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Finding the Fourth Proportional to 33,706.50, 50,566.22 and 12,928.38

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Solution

The fourth proportional to 33,706.50, 50,566.22 and 12,928.38 is: 19,395.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,706.50 : 50,566.22 = 12,928.38 : x
  2. Step 2: Convert to fraction form
    33,706.50/50,566.22 = 12,928.38/x
  3. Step 3: Cross multiply
    33,706.50x = 50,566.22 × 12,928.38
  4. Step 4: Simplify right side
    33,706.50x = 653,739,307.32
  5. Step 5: Solve for x
    x = 653,739,307.32/33,706.50
  6. Step 6: Final answer
    x = 19,395.05

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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.