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Finding the Fourth Proportional to 43,768, 60,400 and 23,896

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Solution

The fourth proportional to 43,768, 60,400 and 23,896 is: 32,976.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,768 : 60,400 = 23,896 : x
  2. Step 2: Convert to fraction form
    43,768/60,400 = 23,896/x
  3. Step 3: Cross multiply
    43,768x = 60,400 × 23,896
  4. Step 4: Simplify right side
    43,768x = 1,443,318,400
  5. Step 5: Solve for x
    x = 1,443,318,400/43,768
  6. Step 6: Final answer
    x = 32,976.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.