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Finding the Fourth Proportional to 39,832, 54,968.16 and 23,930.08

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Solution

The fourth proportional to 39,832, 54,968.16 and 23,930.08 is: 33,023.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,832 : 54,968.16 = 23,930.08 : x
  2. Step 2: Convert to fraction form
    39,832/54,968.16 = 23,930.08/x
  3. Step 3: Cross multiply
    39,832x = 54,968.16 × 23,930.08
  4. Step 4: Simplify right side
    39,832x = 1,315,392,466.25
  5. Step 5: Solve for x
    x = 1,315,392,466.25/39,832
  6. Step 6: Final answer
    x = 33,023.51

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1.5x scale

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.