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Finding the Fourth Proportional to 33,548.10, 46,298.78 and 22,197.78

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Solution

The fourth proportional to 33,548.10, 46,298.78 and 22,197.78 is: 30,634.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,548.10 : 46,298.78 = 22,197.78 : x
  2. Step 2: Convert to fraction form
    33,548.10/46,298.78 = 22,197.78/x
  3. Step 3: Cross multiply
    33,548.10x = 46,298.78 × 22,197.78
  4. Step 4: Simplify right side
    33,548.10x = 1,027,730,021.72
  5. Step 5: Solve for x
    x = 1,027,730,021.72/33,548.10
  6. Step 6: Final answer
    x = 30,634.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.