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Finding the Fourth Proportional to 30,449.62, 45,674.45 and 8,263

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Solution

The fourth proportional to 30,449.62, 45,674.45 and 8,263 is: 12,394.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,449.62 : 45,674.45 = 8,263 : x
  2. Step 2: Convert to fraction form
    30,449.62/45,674.45 = 8,263/x
  3. Step 3: Cross multiply
    30,449.62x = 45,674.45 × 8,263
  4. Step 4: Simplify right side
    30,449.62x = 377,407,980.35
  5. Step 5: Solve for x
    x = 377,407,980.35/30,449.62
  6. Step 6: Final answer
    x = 12,394.51

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Why These Related Problems?

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