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Finding the Fourth Proportional to 33,564.64, 50,348.08 and 10,191

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Solution

The fourth proportional to 33,564.64, 50,348.08 and 10,191 is: 15,286.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,564.64 : 50,348.08 = 10,191 : x
  2. Step 2: Convert to fraction form
    33,564.64/50,348.08 = 10,191/x
  3. Step 3: Cross multiply
    33,564.64x = 50,348.08 × 10,191
  4. Step 4: Simplify right side
    33,564.64x = 513,097,283.28
  5. Step 5: Solve for x
    x = 513,097,283.28/33,564.64
  6. Step 6: Final answer
    x = 15,286.84

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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.