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Finding the Fourth Proportional to 30,392.63, 45,585.50 and 8,204.70

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Solution

The fourth proportional to 30,392.63, 45,585.50 and 8,204.70 is: 12,306.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,392.63 : 45,585.50 = 8,204.70 : x
  2. Step 2: Convert to fraction form
    30,392.63/45,585.50 = 8,204.70/x
  3. Step 3: Cross multiply
    30,392.63x = 45,585.50 × 8,204.70
  4. Step 4: Simplify right side
    30,392.63x = 374,015,310.83
  5. Step 5: Solve for x
    x = 374,015,310.83/30,392.63
  6. Step 6: Final answer
    x = 12,306.12

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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.