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Finding the Fourth Proportional to 30,809.50, 46,207.14 and 8,624.44

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Solution

The fourth proportional to 30,809.50, 46,207.14 and 8,624.44 is: 12,934.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,809.50 : 46,207.14 = 8,624.44 : x
  2. Step 2: Convert to fraction form
    30,809.50/46,207.14 = 8,624.44/x
  3. Step 3: Cross multiply
    30,809.50x = 46,207.14 × 8,624.44
  4. Step 4: Simplify right side
    30,809.50x = 398,510,706.50
  5. Step 5: Solve for x
    x = 398,510,706.50/30,809.50
  6. Step 6: Final answer
    x = 12,934.67

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1.5x scale

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.