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Finding the Fourth Proportional to 33,915.88, 46,801.38 and 19,009

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Solution

The fourth proportional to 33,915.88, 46,801.38 and 19,009 is: 26,231.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,915.88 : 46,801.38 = 19,009 : x
  2. Step 2: Convert to fraction form
    33,915.88/46,801.38 = 19,009/x
  3. Step 3: Cross multiply
    33,915.88x = 46,801.38 × 19,009
  4. Step 4: Simplify right side
    33,915.88x = 889,647,432.42
  5. Step 5: Solve for x
    x = 889,647,432.42/33,915.88
  6. Step 6: Final answer
    x = 26,231.00

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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.