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Finding the Fourth Proportional to 30,738.96, 42,414.84 and 17,992.80

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Solution

The fourth proportional to 30,738.96, 42,414.84 and 17,992.80 is: 24,827.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,738.96 : 42,414.84 = 17,992.80 : x
  2. Step 2: Convert to fraction form
    30,738.96/42,414.84 = 17,992.80/x
  3. Step 3: Cross multiply
    30,738.96x = 42,414.84 × 17,992.80
  4. Step 4: Simplify right side
    30,738.96x = 763,161,733.15
  5. Step 5: Solve for x
    x = 763,161,733.15/30,738.96
  6. Step 6: Final answer
    x = 24,827.18

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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.