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Finding the Fourth Proportional to 38,596.62, 57,637.10 and 32,991.42

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Solution

The fourth proportional to 38,596.62, 57,637.10 and 32,991.42 is: 49,266.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,596.62 : 57,637.10 = 32,991.42 : x
  2. Step 2: Convert to fraction form
    38,596.62/57,637.10 = 32,991.42/x
  3. Step 3: Cross multiply
    38,596.62x = 57,637.10 × 32,991.42
  4. Step 4: Simplify right side
    38,596.62x = 1,901,529,608.72
  5. Step 5: Solve for x
    x = 1,901,529,608.72/38,596.62
  6. Step 6: Final answer
    x = 49,266.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.