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Finding the Fourth Proportional to 70,776.50, 106,181.16 and 24,029.38

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Solution

The fourth proportional to 70,776.50, 106,181.16 and 24,029.38 is: 36,049.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,776.50 : 106,181.16 = 24,029.38 : x
  2. Step 2: Convert to fraction form
    70,776.50/106,181.16 = 24,029.38/x
  3. Step 3: Cross multiply
    70,776.50x = 106,181.16 × 24,029.38
  4. Step 4: Simplify right side
    70,776.50x = 2,551,466,791.43
  5. Step 5: Solve for x
    x = 2,551,466,791.43/70,776.50
  6. Step 6: Final answer
    x = 36,049.63

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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.