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Finding the Fourth Proportional to 35,083.48, 48,414.42 and 19,168

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Solution

The fourth proportional to 35,083.48, 48,414.42 and 19,168 is: 26,451.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,083.48 : 48,414.42 = 19,168 : x
  2. Step 2: Convert to fraction form
    35,083.48/48,414.42 = 19,168/x
  3. Step 3: Cross multiply
    35,083.48x = 48,414.42 × 19,168
  4. Step 4: Simplify right side
    35,083.48x = 928,007,602.56
  5. Step 5: Solve for x
    x = 928,007,602.56/35,083.48
  6. Step 6: Final answer
    x = 26,451.41

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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.