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Finding the Fourth Proportional to 30,527.47, 45,797.78 and 9,467.09

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Solution

The fourth proportional to 30,527.47, 45,797.78 and 9,467.09 is: 14,202.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,527.47 : 45,797.78 = 9,467.09 : x
  2. Step 2: Convert to fraction form
    30,527.47/45,797.78 = 9,467.09/x
  3. Step 3: Cross multiply
    30,527.47x = 45,797.78 × 9,467.09
  4. Step 4: Simplify right side
    30,527.47x = 433,571,705.06
  5. Step 5: Solve for x
    x = 433,571,705.06/30,527.47
  6. Step 6: Final answer
    x = 14,202.67

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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.