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Finding the Fourth Proportional to 33,337.84, 49,999.32 and 9,961.24

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Solution

The fourth proportional to 33,337.84, 49,999.32 and 9,961.24 is: 14,939.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,337.84 : 49,999.32 = 9,961.24 : x
  2. Step 2: Convert to fraction form
    33,337.84/49,999.32 = 9,961.24/x
  3. Step 3: Cross multiply
    33,337.84x = 49,999.32 × 9,961.24
  4. Step 4: Simplify right side
    33,337.84x = 498,055,226.36
  5. Step 5: Solve for x
    x = 498,055,226.36/33,337.84
  6. Step 6: Final answer
    x = 14,939.64

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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.