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Finding the Fourth Proportional to 30,879.18, 42,615.14 and 17,450.14

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Solution

The fourth proportional to 30,879.18, 42,615.14 and 17,450.14 is: 24,082.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,879.18 : 42,615.14 = 17,450.14 : x
  2. Step 2: Convert to fraction form
    30,879.18/42,615.14 = 17,450.14/x
  3. Step 3: Cross multiply
    30,879.18x = 42,615.14 × 17,450.14
  4. Step 4: Simplify right side
    30,879.18x = 743,640,159.12
  5. Step 5: Solve for x
    x = 743,640,159.12/30,879.18
  6. Step 6: Final answer
    x = 24,082.25

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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.