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Finding the Fourth Proportional to 33,405, 50,102.08 and 10,027.32

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Solution

The fourth proportional to 33,405, 50,102.08 and 10,027.32 is: 15,039.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,405 : 50,102.08 = 10,027.32 : x
  2. Step 2: Convert to fraction form
    33,405/50,102.08 = 10,027.32/x
  3. Step 3: Cross multiply
    33,405x = 50,102.08 × 10,027.32
  4. Step 4: Simplify right side
    33,405x = 502,389,588.83
  5. Step 5: Solve for x
    x = 502,389,588.83/33,405
  6. Step 6: Final answer
    x = 15,039.35

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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.