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Finding the Fourth Proportional to 33,784.82, 46,625.93 and 19,636.75

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Solution

The fourth proportional to 33,784.82, 46,625.93 and 19,636.75 is: 27,100.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,784.82 : 46,625.93 = 19,636.75 : x
  2. Step 2: Convert to fraction form
    33,784.82/46,625.93 = 19,636.75/x
  3. Step 3: Cross multiply
    33,784.82x = 46,625.93 × 19,636.75
  4. Step 4: Simplify right side
    33,784.82x = 915,581,730.93
  5. Step 5: Solve for x
    x = 915,581,730.93/33,784.82
  6. Step 6: Final answer
    x = 27,100.39

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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.