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Finding the Fourth Proportional to 33,918, 46,806.84 and 19,014

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Solution

The fourth proportional to 33,918, 46,806.84 and 19,014 is: 26,239.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,918 : 46,806.84 = 19,014 : x
  2. Step 2: Convert to fraction form
    33,918/46,806.84 = 19,014/x
  3. Step 3: Cross multiply
    33,918x = 46,806.84 × 19,014
  4. Step 4: Simplify right side
    33,918x = 889,985,255.76
  5. Step 5: Solve for x
    x = 889,985,255.76/33,918
  6. Step 6: Final answer
    x = 26,239.32

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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.