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Finding the Fourth Proportional to 33,439.48, 46,146.20 and 18,333

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Solution

The fourth proportional to 33,439.48, 46,146.20 and 18,333 is: 25,299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,439.48 : 46,146.20 = 18,333 : x
  2. Step 2: Convert to fraction form
    33,439.48/46,146.20 = 18,333/x
  3. Step 3: Cross multiply
    33,439.48x = 46,146.20 × 18,333
  4. Step 4: Simplify right side
    33,439.48x = 845,998,284.60
  5. Step 5: Solve for x
    x = 845,998,284.60/33,439.48
  6. Step 6: Final answer
    x = 25,299.39

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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.