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Finding the Fourth Proportional to 30,492.20, 45,755.76 and 16,452.20

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Solution

The fourth proportional to 30,492.20, 45,755.76 and 16,452.20 is: 24,687.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,492.20 : 45,755.76 = 16,452.20 : x
  2. Step 2: Convert to fraction form
    30,492.20/45,755.76 = 16,452.20/x
  3. Step 3: Cross multiply
    30,492.20x = 45,755.76 × 16,452.20
  4. Step 4: Simplify right side
    30,492.20x = 752,782,914.67
  5. Step 5: Solve for x
    x = 752,782,914.67/30,492.20
  6. Step 6: Final answer
    x = 24,687.72

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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.