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Finding the Fourth Proportional to 33,378, 46,062.36 and 18,474

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Solution

The fourth proportional to 33,378, 46,062.36 and 18,474 is: 25,494.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,378 : 46,062.36 = 18,474 : x
  2. Step 2: Convert to fraction form
    33,378/46,062.36 = 18,474/x
  3. Step 3: Cross multiply
    33,378x = 46,062.36 × 18,474
  4. Step 4: Simplify right side
    33,378x = 850,956,038.64
  5. Step 5: Solve for x
    x = 850,956,038.64/33,378
  6. Step 6: Final answer
    x = 25,494.52

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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.