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Finding the Fourth Proportional to 35,093.52, 48,449 and 23,191.44

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Solution

The fourth proportional to 35,093.52, 48,449 and 23,191.44 is: 32,017.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,093.52 : 48,449 = 23,191.44 : x
  2. Step 2: Convert to fraction form
    35,093.52/48,449 = 23,191.44/x
  3. Step 3: Cross multiply
    35,093.52x = 48,449 × 23,191.44
  4. Step 4: Simplify right side
    35,093.52x = 1,123,602,076.56
  5. Step 5: Solve for x
    x = 1,123,602,076.56/35,093.52
  6. Step 6: Final answer
    x = 32,017.37

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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.