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Finding the Fourth Proportional to 35,083.24, 48,414.96 and 19,168

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Solution

The fourth proportional to 35,083.24, 48,414.96 and 19,168 is: 26,451.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,083.24 : 48,414.96 = 19,168 : x
  2. Step 2: Convert to fraction form
    35,083.24/48,414.96 = 19,168/x
  3. Step 3: Cross multiply
    35,083.24x = 48,414.96 × 19,168
  4. Step 4: Simplify right side
    35,083.24x = 928,017,953.28
  5. Step 5: Solve for x
    x = 928,017,953.28/35,083.24
  6. Step 6: Final answer
    x = 26,451.89

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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.