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Finding the Fourth Proportional to 36,238.50, 50,009.22 and 21,141.54

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Solution

The fourth proportional to 36,238.50, 50,009.22 and 21,141.54 is: 29,175.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,238.50 : 50,009.22 = 21,141.54 : x
  2. Step 2: Convert to fraction form
    36,238.50/50,009.22 = 21,141.54/x
  3. Step 3: Cross multiply
    36,238.50x = 50,009.22 × 21,141.54
  4. Step 4: Simplify right side
    36,238.50x = 1,057,271,925.00
  5. Step 5: Solve for x
    x = 1,057,271,925.00/36,238.50
  6. Step 6: Final answer
    x = 29,175.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.