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Finding the Fourth Proportional to 30,874.26, 42,606.30 and 17,445.72

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Solution

The fourth proportional to 30,874.26, 42,606.30 and 17,445.72 is: 24,074.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,874.26 : 42,606.30 = 17,445.72 : x
  2. Step 2: Convert to fraction form
    30,874.26/42,606.30 = 17,445.72/x
  3. Step 3: Cross multiply
    30,874.26x = 42,606.30 × 17,445.72
  4. Step 4: Simplify right side
    30,874.26x = 743,297,580.04
  5. Step 5: Solve for x
    x = 743,297,580.04/30,874.26
  6. Step 6: Final answer
    x = 24,074.99

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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.