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Finding the Fourth Proportional to 30,408.67, 45,612.90 and 8,222.05

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Solution

The fourth proportional to 30,408.67, 45,612.90 and 8,222.05 is: 12,333.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,408.67 : 45,612.90 = 8,222.05 : x
  2. Step 2: Convert to fraction form
    30,408.67/45,612.90 = 8,222.05/x
  3. Step 3: Cross multiply
    30,408.67x = 45,612.90 × 8,222.05
  4. Step 4: Simplify right side
    30,408.67x = 375,031,473.17
  5. Step 5: Solve for x
    x = 375,031,473.17/30,408.67
  6. Step 6: Final answer
    x = 12,333.04

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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.