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Finding the Fourth Proportional to 30,421.14, 45,628.20 and 8,233.20

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Solution

The fourth proportional to 30,421.14, 45,628.20 and 8,233.20 is: 12,348.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,421.14 : 45,628.20 = 8,233.20 : x
  2. Step 2: Convert to fraction form
    30,421.14/45,628.20 = 8,233.20/x
  3. Step 3: Cross multiply
    30,421.14x = 45,628.20 × 8,233.20
  4. Step 4: Simplify right side
    30,421.14x = 375,666,096.24
  5. Step 5: Solve for x
    x = 375,666,096.24/30,421.14
  6. Step 6: Final answer
    x = 12,348.85

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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.