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Finding the Fourth Proportional to 43,814, 60,463.32 and 23,942

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Solution

The fourth proportional to 43,814, 60,463.32 and 23,942 is: 33,039.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,814 : 60,463.32 = 23,942 : x
  2. Step 2: Convert to fraction form
    43,814/60,463.32 = 23,942/x
  3. Step 3: Cross multiply
    43,814x = 60,463.32 × 23,942
  4. Step 4: Simplify right side
    43,814x = 1,447,612,807.44
  5. Step 5: Solve for x
    x = 1,447,612,807.44/43,814
  6. Step 6: Final answer
    x = 33,039.96

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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.