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Finding the Fourth Proportional to 36,596.26, 50,502.72 and 19,829.26

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Solution

The fourth proportional to 36,596.26, 50,502.72 and 19,829.26 is: 27,364.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,596.26 : 50,502.72 = 19,829.26 : x
  2. Step 2: Convert to fraction form
    36,596.26/50,502.72 = 19,829.26/x
  3. Step 3: Cross multiply
    36,596.26x = 50,502.72 × 19,829.26
  4. Step 4: Simplify right side
    36,596.26x = 1,001,431,565.59
  5. Step 5: Solve for x
    x = 1,001,431,565.59/36,596.26
  6. Step 6: Final answer
    x = 27,364.31

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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.