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Finding the Fourth Proportional to 30,172.66, 45,265.70 and 9,910.31

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Solution

The fourth proportional to 30,172.66, 45,265.70 and 9,910.31 is: 14,867.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,172.66 : 45,265.70 = 9,910.31 : x
  2. Step 2: Convert to fraction form
    30,172.66/45,265.70 = 9,910.31/x
  3. Step 3: Cross multiply
    30,172.66x = 45,265.70 × 9,910.31
  4. Step 4: Simplify right side
    30,172.66x = 448,597,119.37
  5. Step 5: Solve for x
    x = 448,597,119.37/30,172.66
  6. Step 6: Final answer
    x = 14,867.67

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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.