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Finding the Fourth Proportional to 30,755.85, 42,447.11 and 17,329.70

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Solution

The fourth proportional to 30,755.85, 42,447.11 and 17,329.70 is: 23,917.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,755.85 : 42,447.11 = 17,329.70 : x
  2. Step 2: Convert to fraction form
    30,755.85/42,447.11 = 17,329.70/x
  3. Step 3: Cross multiply
    30,755.85x = 42,447.11 × 17,329.70
  4. Step 4: Simplify right side
    30,755.85x = 735,595,383.28
  5. Step 5: Solve for x
    x = 735,595,383.28/30,755.85
  6. Step 6: Final answer
    x = 23,917.25

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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.