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Finding the Fourth Proportional to 70,798.82, 106,198.22 and 29,246.90

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Solution

The fourth proportional to 70,798.82, 106,198.22 and 29,246.90 is: 43,870.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,798.82 : 106,198.22 = 29,246.90 : x
  2. Step 2: Convert to fraction form
    70,798.82/106,198.22 = 29,246.90/x
  3. Step 3: Cross multiply
    70,798.82x = 106,198.22 × 29,246.90
  4. Step 4: Simplify right side
    70,798.82x = 3,105,968,720.52
  5. Step 5: Solve for x
    x = 3,105,968,720.52/70,798.82
  6. Step 6: Final answer
    x = 43,870.35

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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.