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Finding the Fourth Proportional to 38,662.25, 53,354.01 and 22,539.14

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Solution

The fourth proportional to 38,662.25, 53,354.01 and 22,539.14 is: 31,104.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,662.25 : 53,354.01 = 22,539.14 : x
  2. Step 2: Convert to fraction form
    38,662.25/53,354.01 = 22,539.14/x
  3. Step 3: Cross multiply
    38,662.25x = 53,354.01 × 22,539.14
  4. Step 4: Simplify right side
    38,662.25x = 1,202,553,121.49
  5. Step 5: Solve for x
    x = 1,202,553,121.49/38,662.25
  6. Step 6: Final answer
    x = 31,104.06

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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.