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Finding the Fourth Proportional to 38,578.50, 53,238.33 and 21,814.74

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Solution

The fourth proportional to 38,578.50, 53,238.33 and 21,814.74 is: 30,104.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,578.50 : 53,238.33 = 21,814.74 : x
  2. Step 2: Convert to fraction form
    38,578.50/53,238.33 = 21,814.74/x
  3. Step 3: Cross multiply
    38,578.50x = 53,238.33 × 21,814.74
  4. Step 4: Simplify right side
    38,578.50x = 1,161,380,326.98
  5. Step 5: Solve for x
    x = 1,161,380,326.98/38,578.50
  6. Step 6: Final answer
    x = 30,104.34

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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.