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Finding the Fourth Proportional to 33,647.37, 46,431.14 and 20,210.64

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Solution

The fourth proportional to 33,647.37, 46,431.14 and 20,210.64 is: 27,889.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,647.37 : 46,431.14 = 20,210.64 : x
  2. Step 2: Convert to fraction form
    33,647.37/46,431.14 = 20,210.64/x
  3. Step 3: Cross multiply
    33,647.37x = 46,431.14 × 20,210.64
  4. Step 4: Simplify right side
    33,647.37x = 938,403,055.33
  5. Step 5: Solve for x
    x = 938,403,055.33/33,647.37
  6. Step 6: Final answer
    x = 27,889.34

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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.