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Finding the Fourth Proportional to 38,314.99, 52,866.75 and 22,396.36

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Solution

The fourth proportional to 38,314.99, 52,866.75 and 22,396.36 is: 30,902.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,314.99 : 52,866.75 = 22,396.36 : x
  2. Step 2: Convert to fraction form
    38,314.99/52,866.75 = 22,396.36/x
  3. Step 3: Cross multiply
    38,314.99x = 52,866.75 × 22,396.36
  4. Step 4: Simplify right side
    38,314.99x = 1,184,022,765.03
  5. Step 5: Solve for x
    x = 1,184,022,765.03/38,314.99
  6. Step 6: Final answer
    x = 30,902.34

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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.