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Finding the Fourth Proportional to 33,902.24, 50,853.40 and 9,278.24

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Solution

The fourth proportional to 33,902.24, 50,853.40 and 9,278.24 is: 13,917.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,902.24 : 50,853.40 = 9,278.24 : x
  2. Step 2: Convert to fraction form
    33,902.24/50,853.40 = 9,278.24/x
  3. Step 3: Cross multiply
    33,902.24x = 50,853.40 × 9,278.24
  4. Step 4: Simplify right side
    33,902.24x = 471,830,050.02
  5. Step 5: Solve for x
    x = 471,830,050.02/33,902.24
  6. Step 6: Final answer
    x = 13,917.37

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1.5x scale

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.