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Finding the Fourth Proportional to 69,013.56, 103,442.60 and 33,977.84

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Solution

The fourth proportional to 69,013.56, 103,442.60 and 33,977.84 is: 50,928.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,013.56 : 103,442.60 = 33,977.84 : x
  2. Step 2: Convert to fraction form
    69,013.56/103,442.60 = 33,977.84/x
  3. Step 3: Cross multiply
    69,013.56x = 103,442.60 × 33,977.84
  4. Step 4: Simplify right side
    69,013.56x = 3,514,756,111.98
  5. Step 5: Solve for x
    x = 3,514,756,111.98/69,013.56
  6. Step 6: Final answer
    x = 50,928.49

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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.