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Finding the Fourth Proportional to 33,266, 45,907.14 and 18,362

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Solution

The fourth proportional to 33,266, 45,907.14 and 18,362 is: 25,339.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,266 : 45,907.14 = 18,362 : x
  2. Step 2: Convert to fraction form
    33,266/45,907.14 = 18,362/x
  3. Step 3: Cross multiply
    33,266x = 45,907.14 × 18,362
  4. Step 4: Simplify right side
    33,266x = 842,946,904.68
  5. Step 5: Solve for x
    x = 842,946,904.68/33,266
  6. Step 6: Final answer
    x = 25,339.59

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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.