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Finding the Fourth Proportional to 33,650, 50,436.72 and 20,473.32

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Solution

The fourth proportional to 33,650, 50,436.72 and 20,473.32 is: 30,686.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,650 : 50,436.72 = 20,473.32 : x
  2. Step 2: Convert to fraction form
    33,650/50,436.72 = 20,473.32/x
  3. Step 3: Cross multiply
    33,650x = 50,436.72 × 20,473.32
  4. Step 4: Simplify right side
    33,650x = 1,032,607,108.31
  5. Step 5: Solve for x
    x = 1,032,607,108.31/33,650
  6. Step 6: Final answer
    x = 30,686.69

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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.