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Finding the Fourth Proportional to 27,152.32, 40,734.85 and 8,431.39

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Solution

The fourth proportional to 27,152.32, 40,734.85 and 8,431.39 is: 12,649.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,152.32 : 40,734.85 = 8,431.39 : x
  2. Step 2: Convert to fraction form
    27,152.32/40,734.85 = 8,431.39/x
  3. Step 3: Cross multiply
    27,152.32x = 40,734.85 × 8,431.39
  4. Step 4: Simplify right side
    27,152.32x = 343,451,203.27
  5. Step 5: Solve for x
    x = 343,451,203.27/27,152.32
  6. Step 6: Final answer
    x = 12,649.06

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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.