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Finding the Fourth Proportional to 49,391, 68,135.26 and 33,480.44

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Solution

The fourth proportional to 49,391, 68,135.26 and 33,480.44 is: 46,186.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,391 : 68,135.26 = 33,480.44 : x
  2. Step 2: Convert to fraction form
    49,391/68,135.26 = 33,480.44/x
  3. Step 3: Cross multiply
    49,391x = 68,135.26 × 33,480.44
  4. Step 4: Simplify right side
    49,391x = 2,281,198,484.31
  5. Step 5: Solve for x
    x = 2,281,198,484.31/49,391
  6. Step 6: Final answer
    x = 46,186.52

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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.