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Finding the Fourth Proportional to 33,442.50, 46,150.34 and 18,336

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Solution

The fourth proportional to 33,442.50, 46,150.34 and 18,336 is: 25,303.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,442.50 : 46,150.34 = 18,336 : x
  2. Step 2: Convert to fraction form
    33,442.50/46,150.34 = 18,336/x
  3. Step 3: Cross multiply
    33,442.50x = 46,150.34 × 18,336
  4. Step 4: Simplify right side
    33,442.50x = 846,212,634.24
  5. Step 5: Solve for x
    x = 846,212,634.24/33,442.50
  6. Step 6: Final answer
    x = 25,303.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.