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Finding the Fourth Proportional to 27,676.68, 41,300.79 and 24,723.24

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Solution

The fourth proportional to 27,676.68, 41,300.79 and 24,723.24 is: 36,893.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,676.68 : 41,300.79 = 24,723.24 : x
  2. Step 2: Convert to fraction form
    27,676.68/41,300.79 = 24,723.24/x
  3. Step 3: Cross multiply
    27,676.68x = 41,300.79 × 24,723.24
  4. Step 4: Simplify right side
    27,676.68x = 1,021,089,343.36
  5. Step 5: Solve for x
    x = 1,021,089,343.36/27,676.68
  6. Step 6: Final answer
    x = 36,893.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.