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Finding the Fourth Proportional to 33,114.67, 49,674.44 and 9,742.12

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Solution

The fourth proportional to 33,114.67, 49,674.44 and 9,742.12 is: 14,613.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,114.67 : 49,674.44 = 9,742.12 : x
  2. Step 2: Convert to fraction form
    33,114.67/49,674.44 = 9,742.12/x
  3. Step 3: Cross multiply
    33,114.67x = 49,674.44 × 9,742.12
  4. Step 4: Simplify right side
    33,114.67x = 483,934,058.33
  5. Step 5: Solve for x
    x = 483,934,058.33/33,114.67
  6. Step 6: Final answer
    x = 14,613.89

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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.