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Finding the Fourth Proportional to 34,943.20, 52,412.40 and 11,250.40

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Solution

The fourth proportional to 34,943.20, 52,412.40 and 11,250.40 is: 16,874.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,943.20 : 52,412.40 = 11,250.40 : x
  2. Step 2: Convert to fraction form
    34,943.20/52,412.40 = 11,250.40/x
  3. Step 3: Cross multiply
    34,943.20x = 52,412.40 × 11,250.40
  4. Step 4: Simplify right side
    34,943.20x = 589,660,464.96
  5. Step 5: Solve for x
    x = 589,660,464.96/34,943.20
  6. Step 6: Final answer
    x = 16,874.83

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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.