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Finding the Fourth Proportional to 36,966.78, 51,020.01 and 23,544

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Solution

The fourth proportional to 36,966.78, 51,020.01 and 23,544 is: 32,494.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,966.78 : 51,020.01 = 23,544 : x
  2. Step 2: Convert to fraction form
    36,966.78/51,020.01 = 23,544/x
  3. Step 3: Cross multiply
    36,966.78x = 51,020.01 × 23,544
  4. Step 4: Simplify right side
    36,966.78x = 1,201,215,115.44
  5. Step 5: Solve for x
    x = 1,201,215,115.44/36,966.78
  6. Step 6: Final answer
    x = 32,494.45

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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.