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Finding the Fourth Proportional to 37,728.96, 52,072.38 and 21,823.08

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Solution

The fourth proportional to 37,728.96, 52,072.38 and 21,823.08 is: 30,119.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,728.96 : 52,072.38 = 21,823.08 : x
  2. Step 2: Convert to fraction form
    37,728.96/52,072.38 = 21,823.08/x
  3. Step 3: Cross multiply
    37,728.96x = 52,072.38 × 21,823.08
  4. Step 4: Simplify right side
    37,728.96x = 1,136,379,714.53
  5. Step 5: Solve for x
    x = 1,136,379,714.53/37,728.96
  6. Step 6: Final answer
    x = 30,119.56

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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.