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Finding the Fourth Proportional to 22,054.50, 33,081.93 and 8,203.50

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Solution

The fourth proportional to 22,054.50, 33,081.93 and 8,203.50 is: 12,305.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,054.50 : 33,081.93 = 8,203.50 : x
  2. Step 2: Convert to fraction form
    22,054.50/33,081.93 = 8,203.50/x
  3. Step 3: Cross multiply
    22,054.50x = 33,081.93 × 8,203.50
  4. Step 4: Simplify right side
    22,054.50x = 271,387,612.76
  5. Step 5: Solve for x
    x = 271,387,612.76/22,054.50
  6. Step 6: Final answer
    x = 12,305.32

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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.