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Finding the Fourth Proportional to 22,035.16, 33,049.50 and 7,243.48

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Solution

The fourth proportional to 22,035.16, 33,049.50 and 7,243.48 is: 10,864.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,035.16 : 33,049.50 = 7,243.48 : x
  2. Step 2: Convert to fraction form
    22,035.16/33,049.50 = 7,243.48/x
  3. Step 3: Cross multiply
    22,035.16x = 33,049.50 × 7,243.48
  4. Step 4: Simplify right side
    22,035.16x = 239,393,392.26
  5. Step 5: Solve for x
    x = 239,393,392.26/22,035.16
  6. Step 6: Final answer
    x = 10,864.15

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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.