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Finding the Fourth Proportional to 33,224.14, 49,827.72 and 9,845.11

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Solution

The fourth proportional to 33,224.14, 49,827.72 and 9,845.11 is: 14,765.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,224.14 : 49,827.72 = 9,845.11 : x
  2. Step 2: Convert to fraction form
    33,224.14/49,827.72 = 9,845.11/x
  3. Step 3: Cross multiply
    33,224.14x = 49,827.72 × 9,845.11
  4. Step 4: Simplify right side
    33,224.14x = 490,559,384.45
  5. Step 5: Solve for x
    x = 490,559,384.45/33,224.14
  6. Step 6: Final answer
    x = 14,765.15

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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.