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Finding the Fourth Proportional to 30,620.08, 45,930.34 and 8,432.96

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Solution

The fourth proportional to 30,620.08, 45,930.34 and 8,432.96 is: 12,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,620.08 : 45,930.34 = 8,432.96 : x
  2. Step 2: Convert to fraction form
    30,620.08/45,930.34 = 8,432.96/x
  3. Step 3: Cross multiply
    30,620.08x = 45,930.34 × 8,432.96
  4. Step 4: Simplify right side
    30,620.08x = 387,328,720.01
  5. Step 5: Solve for x
    x = 387,328,720.01/30,620.08
  6. Step 6: Final answer
    x = 12,649.50

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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.