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Finding the Fourth Proportional to 36,534.08, 54,801.12 and 11,912

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Solution

The fourth proportional to 36,534.08, 54,801.12 and 11,912 is: 17,868

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,534.08 : 54,801.12 = 11,912 : x
  2. Step 2: Convert to fraction form
    36,534.08/54,801.12 = 11,912/x
  3. Step 3: Cross multiply
    36,534.08x = 54,801.12 × 11,912
  4. Step 4: Simplify right side
    36,534.08x = 652,790,941.44
  5. Step 5: Solve for x
    x = 652,790,941.44/36,534.08
  6. Step 6: Final answer
    x = 17,868

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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.