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Finding the Fourth Proportional to 36,509.65, 50,383.37 and 19,742.65

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Solution

The fourth proportional to 36,509.65, 50,383.37 and 19,742.65 is: 27,244.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,509.65 : 50,383.37 = 19,742.65 : x
  2. Step 2: Convert to fraction form
    36,509.65/50,383.37 = 19,742.65/x
  3. Step 3: Cross multiply
    36,509.65x = 50,383.37 × 19,742.65
  4. Step 4: Simplify right side
    36,509.65x = 994,701,239.73
  5. Step 5: Solve for x
    x = 994,701,239.73/36,509.65
  6. Step 6: Final answer
    x = 27,244.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.