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Finding the Fourth Proportional to 43,840, 60,500.16 and 23,968

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Solution

The fourth proportional to 43,840, 60,500.16 and 23,968 is: 33,076.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,840 : 60,500.16 = 23,968 : x
  2. Step 2: Convert to fraction form
    43,840/60,500.16 = 23,968/x
  3. Step 3: Cross multiply
    43,840x = 60,500.16 × 23,968
  4. Step 4: Simplify right side
    43,840x = 1,450,067,834.88
  5. Step 5: Solve for x
    x = 1,450,067,834.88/43,840
  6. Step 6: Final answer
    x = 33,076.36

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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.