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Finding the Fourth Proportional to 71,832.60, 107,725.97 and 23,792.42

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Solution

The fourth proportional to 71,832.60, 107,725.97 and 23,792.42 is: 35,681.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,832.60 : 107,725.97 = 23,792.42 : x
  2. Step 2: Convert to fraction form
    71,832.60/107,725.97 = 23,792.42/x
  3. Step 3: Cross multiply
    71,832.60x = 107,725.97 × 23,792.42
  4. Step 4: Simplify right side
    71,832.60x = 2,563,060,865.56
  5. Step 5: Solve for x
    x = 2,563,060,865.56/71,832.60
  6. Step 6: Final answer
    x = 35,681.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.