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Finding the Fourth Proportional to 34,809.89, 52,214.84 and 8,514.32

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Solution

The fourth proportional to 34,809.89, 52,214.84 and 8,514.32 is: 12,771.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,809.89 : 52,214.84 = 8,514.32 : x
  2. Step 2: Convert to fraction form
    34,809.89/52,214.84 = 8,514.32/x
  3. Step 3: Cross multiply
    34,809.89x = 52,214.84 × 8,514.32
  4. Step 4: Simplify right side
    34,809.89x = 444,573,856.51
  5. Step 5: Solve for x
    x = 444,573,856.51/34,809.89
  6. Step 6: Final answer
    x = 12,771.48

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Similar ratio
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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.