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Finding the Fourth Proportional to 29,660.77, 40,914.07 and 19,589.23

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Solution

The fourth proportional to 29,660.77, 40,914.07 and 19,589.23 is: 27,021.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,660.77 : 40,914.07 = 19,589.23 : x
  2. Step 2: Convert to fraction form
    29,660.77/40,914.07 = 19,589.23/x
  3. Step 3: Cross multiply
    29,660.77x = 40,914.07 × 19,589.23
  4. Step 4: Simplify right side
    29,660.77x = 801,475,127.47
  5. Step 5: Solve for x
    x = 801,475,127.47/29,660.77
  6. Step 6: Final answer
    x = 27,021.39

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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.