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Finding the Fourth Proportional to 49,676.70, 74,489.40 and 14,611.80

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Solution

The fourth proportional to 49,676.70, 74,489.40 and 14,611.80 is: 21,910.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,676.70 : 74,489.40 = 14,611.80 : x
  2. Step 2: Convert to fraction form
    49,676.70/74,489.40 = 14,611.80/x
  3. Step 3: Cross multiply
    49,676.70x = 74,489.40 × 14,611.80
  4. Step 4: Simplify right side
    49,676.70x = 1,088,424,214.92
  5. Step 5: Solve for x
    x = 1,088,424,214.92/49,676.70
  6. Step 6: Final answer
    x = 21,910.16

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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.