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Finding the Fourth Proportional to 51,676.35, 71,311.46 and 31,566.88

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Solution

The fourth proportional to 51,676.35, 71,311.46 and 31,566.88 is: 43,561.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,676.35 : 71,311.46 = 31,566.88 : x
  2. Step 2: Convert to fraction form
    51,676.35/71,311.46 = 31,566.88/x
  3. Step 3: Cross multiply
    51,676.35x = 71,311.46 × 31,566.88
  4. Step 4: Simplify right side
    51,676.35x = 2,251,080,300.44
  5. Step 5: Solve for x
    x = 2,251,080,300.44/51,676.35
  6. Step 6: Final answer
    x = 43,561.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.