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Finding the Fourth Proportional to 43,206, 59,600.10 and 25,297.56

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Solution

The fourth proportional to 43,206, 59,600.10 and 25,297.56 is: 34,896.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,206 : 59,600.10 = 25,297.56 : x
  2. Step 2: Convert to fraction form
    43,206/59,600.10 = 25,297.56/x
  3. Step 3: Cross multiply
    43,206x = 59,600.10 × 25,297.56
  4. Step 4: Simplify right side
    43,206x = 1,507,737,105.76
  5. Step 5: Solve for x
    x = 1,507,737,105.76/43,206
  6. Step 6: Final answer
    x = 34,896.48

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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.