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Finding the Fourth Proportional to 30,321.30, 45,462.86 and 9,254.33

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Solution

The fourth proportional to 30,321.30, 45,462.86 and 9,254.33 is: 13,875.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,321.30 : 45,462.86 = 9,254.33 : x
  2. Step 2: Convert to fraction form
    30,321.30/45,462.86 = 9,254.33/x
  3. Step 3: Cross multiply
    30,321.30x = 45,462.86 × 9,254.33
  4. Step 4: Simplify right side
    30,321.30x = 420,728,149.26
  5. Step 5: Solve for x
    x = 420,728,149.26/30,321.30
  6. Step 6: Final answer
    x = 13,875.67

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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.