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Finding the Fourth Proportional to 36,361.76, 54,548.40 and 11,732

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Solution

The fourth proportional to 36,361.76, 54,548.40 and 11,732 is: 17,599.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,361.76 : 54,548.40 = 11,732 : x
  2. Step 2: Convert to fraction form
    36,361.76/54,548.40 = 11,732/x
  3. Step 3: Cross multiply
    36,361.76x = 54,548.40 × 11,732
  4. Step 4: Simplify right side
    36,361.76x = 639,961,828.80
  5. Step 5: Solve for x
    x = 639,961,828.80/36,361.76
  6. Step 6: Final answer
    x = 17,599.86

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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.