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Finding the Fourth Proportional to 34,142.40, 51,181.20 and 30,643.20

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Solution

The fourth proportional to 34,142.40, 51,181.20 and 30,643.20 is: 45,935.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,142.40 : 51,181.20 = 30,643.20 : x
  2. Step 2: Convert to fraction form
    34,142.40/51,181.20 = 30,643.20/x
  3. Step 3: Cross multiply
    34,142.40x = 51,181.20 × 30,643.20
  4. Step 4: Simplify right side
    34,142.40x = 1,568,355,747.84
  5. Step 5: Solve for x
    x = 1,568,355,747.84/34,142.40
  6. Step 6: Final answer
    x = 45,935.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.