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Finding the Fourth Proportional to 33,570.25, 50,310.01 and 12,782.41

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Solution

The fourth proportional to 33,570.25, 50,310.01 and 12,782.41 is: 19,156.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,570.25 : 50,310.01 = 12,782.41 : x
  2. Step 2: Convert to fraction form
    33,570.25/50,310.01 = 12,782.41/x
  3. Step 3: Cross multiply
    33,570.25x = 50,310.01 × 12,782.41
  4. Step 4: Simplify right side
    33,570.25x = 643,083,065.13
  5. Step 5: Solve for x
    x = 643,083,065.13/33,570.25
  6. Step 6: Final answer
    x = 19,156.34

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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.