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Finding the Fourth Proportional to 33,345, 46,016.10 and 18,441

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Solution

The fourth proportional to 33,345, 46,016.10 and 18,441 is: 25,448.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,345 : 46,016.10 = 18,441 : x
  2. Step 2: Convert to fraction form
    33,345/46,016.10 = 18,441/x
  3. Step 3: Cross multiply
    33,345x = 46,016.10 × 18,441
  4. Step 4: Simplify right side
    33,345x = 848,582,900.10
  5. Step 5: Solve for x
    x = 848,582,900.10/33,345
  6. Step 6: Final answer
    x = 25,448.58

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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.