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Finding the Fourth Proportional to 49,676.84, 74,525.70 and 14,613.56

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Solution

The fourth proportional to 49,676.84, 74,525.70 and 14,613.56 is: 21,923.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,676.84 : 74,525.70 = 14,613.56 : x
  2. Step 2: Convert to fraction form
    49,676.84/74,525.70 = 14,613.56/x
  3. Step 3: Cross multiply
    49,676.84x = 74,525.70 × 14,613.56
  4. Step 4: Simplify right side
    49,676.84x = 1,089,085,788.49
  5. Step 5: Solve for x
    x = 1,089,085,788.49/49,676.84
  6. Step 6: Final answer
    x = 21,923.41

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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.