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Finding the Fourth Proportional to 34,210.48, 47,213.76 and 20,778.64

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Solution

The fourth proportional to 34,210.48, 47,213.76 and 20,778.64 is: 28,676.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,210.48 : 47,213.76 = 20,778.64 : x
  2. Step 2: Convert to fraction form
    34,210.48/47,213.76 = 20,778.64/x
  3. Step 3: Cross multiply
    34,210.48x = 47,213.76 × 20,778.64
  4. Step 4: Simplify right side
    34,210.48x = 981,037,722.09
  5. Step 5: Solve for x
    x = 981,037,722.09/34,210.48
  6. Step 6: Final answer
    x = 28,676.53

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