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Finding the Fourth Proportional to 43,786, 60,424.68 and 23,914

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Solution

The fourth proportional to 43,786, 60,424.68 and 23,914 is: 33,001.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,786 : 60,424.68 = 23,914 : x
  2. Step 2: Convert to fraction form
    43,786/60,424.68 = 23,914/x
  3. Step 3: Cross multiply
    43,786x = 60,424.68 × 23,914
  4. Step 4: Simplify right side
    43,786x = 1,444,995,797.52
  5. Step 5: Solve for x
    x = 1,444,995,797.52/43,786
  6. Step 6: Final answer
    x = 33,001.32

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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.