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Finding the Fourth Proportional to 34,102.82, 47,064.26 and 20,674.64

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Solution

The fourth proportional to 34,102.82, 47,064.26 and 20,674.64 is: 28,532.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,102.82 : 47,064.26 = 20,674.64 : x
  2. Step 2: Convert to fraction form
    34,102.82/47,064.26 = 20,674.64/x
  3. Step 3: Cross multiply
    34,102.82x = 47,064.26 × 20,674.64
  4. Step 4: Simplify right side
    34,102.82x = 973,036,632.37
  5. Step 5: Solve for x
    x = 973,036,632.37/34,102.82
  6. Step 6: Final answer
    x = 28,532.44

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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.