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Finding the Fourth Proportional to 67,246.40, 100,826.40 and 27,819.20

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Solution

The fourth proportional to 67,246.40, 100,826.40 and 27,819.20 is: 41,710.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,246.40 : 100,826.40 = 27,819.20 : x
  2. Step 2: Convert to fraction form
    67,246.40/100,826.40 = 27,819.20/x
  3. Step 3: Cross multiply
    67,246.40x = 100,826.40 × 27,819.20
  4. Step 4: Simplify right side
    67,246.40x = 2,804,909,786.88
  5. Step 5: Solve for x
    x = 2,804,909,786.88/67,246.40
  6. Step 6: Final answer
    x = 41,710.93

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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.