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Finding the Fourth Proportional to 42,194, 63,249.60 and 23,483

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Solution

The fourth proportional to 42,194, 63,249.60 and 23,483 is: 35,201.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,194 : 63,249.60 = 23,483 : x
  2. Step 2: Convert to fraction form
    42,194/63,249.60 = 23,483/x
  3. Step 3: Cross multiply
    42,194x = 63,249.60 × 23,483
  4. Step 4: Simplify right side
    42,194x = 1,485,290,356.80
  5. Step 5: Solve for x
    x = 1,485,290,356.80/42,194
  6. Step 6: Final answer
    x = 35,201.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.