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Finding the Fourth Proportional to 34,204.37, 47,202.83 and 21,458.09

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Solution

The fourth proportional to 34,204.37, 47,202.83 and 21,458.09 is: 29,612.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,204.37 : 47,202.83 = 21,458.09 : x
  2. Step 2: Convert to fraction form
    34,204.37/47,202.83 = 21,458.09/x
  3. Step 3: Cross multiply
    34,204.37x = 47,202.83 × 21,458.09
  4. Step 4: Simplify right side
    34,204.37x = 1,012,882,574.39
  5. Step 5: Solve for x
    x = 1,012,882,574.39/34,204.37
  6. Step 6: Final answer
    x = 29,612.67

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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.