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Finding the Fourth Proportional to 30,589.43, 45,884.10 and 8,402.90

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Solution

The fourth proportional to 30,589.43, 45,884.10 and 8,402.90 is: 12,604.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,589.43 : 45,884.10 = 8,402.90 : x
  2. Step 2: Convert to fraction form
    30,589.43/45,884.10 = 8,402.90/x
  3. Step 3: Cross multiply
    30,589.43x = 45,884.10 × 8,402.90
  4. Step 4: Simplify right side
    30,589.43x = 385,559,503.89
  5. Step 5: Solve for x
    x = 385,559,503.89/30,589.43
  6. Step 6: Final answer
    x = 12,604.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.