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Finding the Fourth Proportional to 38,277.09, 52,825.34 and 22,964.21

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Solution

The fourth proportional to 38,277.09, 52,825.34 and 22,964.21 is: 31,692.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,277.09 : 52,825.34 = 22,964.21 : x
  2. Step 2: Convert to fraction form
    38,277.09/52,825.34 = 22,964.21/x
  3. Step 3: Cross multiply
    38,277.09x = 52,825.34 × 22,964.21
  4. Step 4: Simplify right side
    38,277.09x = 1,213,092,086.26
  5. Step 5: Solve for x
    x = 1,213,092,086.26/38,277.09
  6. Step 6: Final answer
    x = 31,692.38

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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.