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Finding the Fourth Proportional to 30,650.96, 45,972.98 and 8,467.50

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Solution

The fourth proportional to 30,650.96, 45,972.98 and 8,467.50 is: 12,700.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,650.96 : 45,972.98 = 8,467.50 : x
  2. Step 2: Convert to fraction form
    30,650.96/45,972.98 = 8,467.50/x
  3. Step 3: Cross multiply
    30,650.96x = 45,972.98 × 8,467.50
  4. Step 4: Simplify right side
    30,650.96x = 389,276,208.15
  5. Step 5: Solve for x
    x = 389,276,208.15/30,650.96
  6. Step 6: Final answer
    x = 12,700.29

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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.