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Finding the Fourth Proportional to 38,212.98, 52,725.78 and 23,102.64

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Solution

The fourth proportional to 38,212.98, 52,725.78 and 23,102.64 is: 31,876.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,212.98 : 52,725.78 = 23,102.64 : x
  2. Step 2: Convert to fraction form
    38,212.98/52,725.78 = 23,102.64/x
  3. Step 3: Cross multiply
    38,212.98x = 52,725.78 × 23,102.64
  4. Step 4: Simplify right side
    38,212.98x = 1,218,104,714.06
  5. Step 5: Solve for x
    x = 1,218,104,714.06/38,212.98
  6. Step 6: Final answer
    x = 31,876.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.