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Finding the Fourth Proportional to 30,213.48, 45,315.54 and 15,433.32

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Solution

The fourth proportional to 30,213.48, 45,315.54 and 15,433.32 is: 23,147.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,213.48 : 45,315.54 = 15,433.32 : x
  2. Step 2: Convert to fraction form
    30,213.48/45,315.54 = 15,433.32/x
  3. Step 3: Cross multiply
    30,213.48x = 45,315.54 × 15,433.32
  4. Step 4: Simplify right side
    30,213.48x = 699,369,229.79
  5. Step 5: Solve for x
    x = 699,369,229.79/30,213.48
  6. Step 6: Final answer
    x = 23,147.59

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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.