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Finding the Fourth Proportional to 33,316, 45,976.08 and 18,412

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Solution

The fourth proportional to 33,316, 45,976.08 and 18,412 is: 25,408.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,316 : 45,976.08 = 18,412 : x
  2. Step 2: Convert to fraction form
    33,316/45,976.08 = 18,412/x
  3. Step 3: Cross multiply
    33,316x = 45,976.08 × 18,412
  4. Step 4: Simplify right side
    33,316x = 846,511,584.96
  5. Step 5: Solve for x
    x = 846,511,584.96/33,316
  6. Step 6: Final answer
    x = 25,408.56

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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.