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Finding the Fourth Proportional to 35,903.25, 49,514.23 and 22,475.73

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Solution

The fourth proportional to 35,903.25, 49,514.23 and 22,475.73 is: 30,996.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,903.25 : 49,514.23 = 22,475.73 : x
  2. Step 2: Convert to fraction form
    35,903.25/49,514.23 = 22,475.73/x
  3. Step 3: Cross multiply
    35,903.25x = 49,514.23 × 22,475.73
  4. Step 4: Simplify right side
    35,903.25x = 1,112,868,464.64
  5. Step 5: Solve for x
    x = 1,112,868,464.64/35,903.25
  6. Step 6: Final answer
    x = 30,996.32

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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.