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Finding the Fourth Proportional to 45,843.20, 68,771.92 and 19,548

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Solution

The fourth proportional to 45,843.20, 68,771.92 and 19,548 is: 29,325.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,843.20 : 68,771.92 = 19,548 : x
  2. Step 2: Convert to fraction form
    45,843.20/68,771.92 = 19,548/x
  3. Step 3: Cross multiply
    45,843.20x = 68,771.92 × 19,548
  4. Step 4: Simplify right side
    45,843.20x = 1,344,353,492.16
  5. Step 5: Solve for x
    x = 1,344,353,492.16/45,843.20
  6. Step 6: Final answer
    x = 29,325.04

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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.