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Finding the Fourth Proportional to 88,786, 133,198.44 and 33,382

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Solution

The fourth proportional to 88,786, 133,198.44 and 33,382 is: 50,080.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,786 : 133,198.44 = 33,382 : x
  2. Step 2: Convert to fraction form
    88,786/133,198.44 = 33,382/x
  3. Step 3: Cross multiply
    88,786x = 133,198.44 × 33,382
  4. Step 4: Simplify right side
    88,786x = 4,446,430,324.08
  5. Step 5: Solve for x
    x = 4,446,430,324.08/88,786
  6. Step 6: Final answer
    x = 50,080.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.