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Finding the Fourth Proportional to 38,578.25, 53,238.31 and 20,914.25

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Solution

The fourth proportional to 38,578.25, 53,238.31 and 20,914.25 is: 28,861.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,578.25 : 53,238.31 = 20,914.25 : x
  2. Step 2: Convert to fraction form
    38,578.25/53,238.31 = 20,914.25/x
  3. Step 3: Cross multiply
    38,578.25x = 53,238.31 × 20,914.25
  4. Step 4: Simplify right side
    38,578.25x = 1,113,439,220.35
  5. Step 5: Solve for x
    x = 1,113,439,220.35/38,578.25
  6. Step 6: Final answer
    x = 28,861.84

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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.