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Finding the Fourth Proportional to 51,137.38, 70,570.11 and 29,912.50

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Solution

The fourth proportional to 51,137.38, 70,570.11 and 29,912.50 is: 41,279.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,137.38 : 70,570.11 = 29,912.50 : x
  2. Step 2: Convert to fraction form
    51,137.38/70,570.11 = 29,912.50/x
  3. Step 3: Cross multiply
    51,137.38x = 70,570.11 × 29,912.50
  4. Step 4: Simplify right side
    51,137.38x = 2,110,928,415.38
  5. Step 5: Solve for x
    x = 2,110,928,415.38/51,137.38
  6. Step 6: Final answer
    x = 41,279.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.