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Finding the Fourth Proportional to 33,997.61, 46,862.15 and 23,092.35

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Solution

The fourth proportional to 33,997.61, 46,862.15 and 23,092.35 is: 31,830.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,997.61 : 46,862.15 = 23,092.35 : x
  2. Step 2: Convert to fraction form
    33,997.61/46,862.15 = 23,092.35/x
  3. Step 3: Cross multiply
    33,997.61x = 46,862.15 × 23,092.35
  4. Step 4: Simplify right side
    33,997.61x = 1,082,157,054.09
  5. Step 5: Solve for x
    x = 1,082,157,054.09/33,997.61
  6. Step 6: Final answer
    x = 31,830.39

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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.