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Finding the Fourth Proportional to 30,878.46, 42,613.74 and 17,450.28

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Solution

The fourth proportional to 30,878.46, 42,613.74 and 17,450.28 is: 24,082.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,878.46 : 42,613.74 = 17,450.28 : x
  2. Step 2: Convert to fraction form
    30,878.46/42,613.74 = 17,450.28/x
  3. Step 3: Cross multiply
    30,878.46x = 42,613.74 × 17,450.28
  4. Step 4: Simplify right side
    30,878.46x = 743,621,694.85
  5. Step 5: Solve for x
    x = 743,621,694.85/30,878.46
  6. Step 6: Final answer
    x = 24,082.21

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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.