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Finding the Fourth Proportional to 30,202.27, 45,303.86 and 10,481.46

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Solution

The fourth proportional to 30,202.27, 45,303.86 and 10,481.46 is: 15,722.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,202.27 : 45,303.86 = 10,481.46 : x
  2. Step 2: Convert to fraction form
    30,202.27/45,303.86 = 10,481.46/x
  3. Step 3: Cross multiply
    30,202.27x = 45,303.86 × 10,481.46
  4. Step 4: Simplify right side
    30,202.27x = 474,850,596.44
  5. Step 5: Solve for x
    x = 474,850,596.44/30,202.27
  6. Step 6: Final answer
    x = 15,722.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.