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Finding the Fourth Proportional to 43,649, 60,235.64 and 23,777

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Solution

The fourth proportional to 43,649, 60,235.64 and 23,777 is: 32,812.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,649 : 60,235.64 = 23,777 : x
  2. Step 2: Convert to fraction form
    43,649/60,235.64 = 23,777/x
  3. Step 3: Cross multiply
    43,649x = 60,235.64 × 23,777
  4. Step 4: Simplify right side
    43,649x = 1,432,222,812.28
  5. Step 5: Solve for x
    x = 1,432,222,812.28/43,649
  6. Step 6: Final answer
    x = 32,812.27

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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.