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Finding the Fourth Proportional to 33,564.36, 50,343.28 and 10,191.00

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Solution

The fourth proportional to 33,564.36, 50,343.28 and 10,191.00 is: 15,285.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,564.36 : 50,343.28 = 10,191.00 : x
  2. Step 2: Convert to fraction form
    33,564.36/50,343.28 = 10,191.00/x
  3. Step 3: Cross multiply
    33,564.36x = 50,343.28 × 10,191.00
  4. Step 4: Simplify right side
    33,564.36x = 513,048,089.29
  5. Step 5: Solve for x
    x = 513,048,089.29/33,564.36
  6. Step 6: Final answer
    x = 15,285.50

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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.