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Finding the Fourth Proportional to 39,546.90, 54,573.06 and 23,640.12

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Solution

The fourth proportional to 39,546.90, 54,573.06 and 23,640.12 is: 32,622.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,546.90 : 54,573.06 = 23,640.12 : x
  2. Step 2: Convert to fraction form
    39,546.90/54,573.06 = 23,640.12/x
  3. Step 3: Cross multiply
    39,546.90x = 54,573.06 × 23,640.12
  4. Step 4: Simplify right side
    39,546.90x = 1,290,113,687.17
  5. Step 5: Solve for x
    x = 1,290,113,687.17/39,546.90
  6. Step 6: Final answer
    x = 32,622.37

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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.