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Finding the Fourth Proportional to 29,478.10, 40,678.44 and 16,049.33

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Solution

The fourth proportional to 29,478.10, 40,678.44 and 16,049.33 is: 22,147.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,478.10 : 40,678.44 = 16,049.33 : x
  2. Step 2: Convert to fraction form
    29,478.10/40,678.44 = 16,049.33/x
  3. Step 3: Cross multiply
    29,478.10x = 40,678.44 × 16,049.33
  4. Step 4: Simplify right side
    29,478.10x = 652,861,615.78
  5. Step 5: Solve for x
    x = 652,861,615.78/29,478.10
  6. Step 6: Final answer
    x = 22,147.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.