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Finding the Fourth Proportional to 33,814.40, 50,721.60 and 32,201.60

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Solution

The fourth proportional to 33,814.40, 50,721.60 and 32,201.60 is: 48,302.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,814.40 : 50,721.60 = 32,201.60 : x
  2. Step 2: Convert to fraction form
    33,814.40/50,721.60 = 32,201.60/x
  3. Step 3: Cross multiply
    33,814.40x = 50,721.60 × 32,201.60
  4. Step 4: Simplify right side
    33,814.40x = 1,633,316,674.56
  5. Step 5: Solve for x
    x = 1,633,316,674.56/33,814.40
  6. Step 6: Final answer
    x = 48,302.40

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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.