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Finding the Fourth Proportional to 43,450, 59,961 and 23,578

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Solution

The fourth proportional to 43,450, 59,961 and 23,578 is: 32,537.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,450 : 59,961 = 23,578 : x
  2. Step 2: Convert to fraction form
    43,450/59,961 = 23,578/x
  3. Step 3: Cross multiply
    43,450x = 59,961 × 23,578
  4. Step 4: Simplify right side
    43,450x = 1,413,760,458
  5. Step 5: Solve for x
    x = 1,413,760,458/43,450
  6. Step 6: Final answer
    x = 32,537.64

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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.