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Finding the Fourth Proportional to 38,643.56, 53,327.08 and 22,728.98

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Solution

The fourth proportional to 38,643.56, 53,327.08 and 22,728.98 is: 31,365.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,643.56 : 53,327.08 = 22,728.98 : x
  2. Step 2: Convert to fraction form
    38,643.56/53,327.08 = 22,728.98/x
  3. Step 3: Cross multiply
    38,643.56x = 53,327.08 × 22,728.98
  4. Step 4: Simplify right side
    38,643.56x = 1,212,070,134.78
  5. Step 5: Solve for x
    x = 1,212,070,134.78/38,643.56
  6. Step 6: Final answer
    x = 31,365.38

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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.