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Finding the Fourth Proportional to 38,864.88, 53,638.44 and 22,094.64

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Solution

The fourth proportional to 38,864.88, 53,638.44 and 22,094.64 is: 30,493.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,864.88 : 53,638.44 = 22,094.64 : x
  2. Step 2: Convert to fraction form
    38,864.88/53,638.44 = 22,094.64/x
  3. Step 3: Cross multiply
    38,864.88x = 53,638.44 × 22,094.64
  4. Step 4: Simplify right side
    38,864.88x = 1,185,122,021.96
  5. Step 5: Solve for x
    x = 1,185,122,021.96/38,864.88
  6. Step 6: Final answer
    x = 30,493.39

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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.