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Finding the Fourth Proportional to 74,499.94, 111,676.10 and 34,986.32

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Solution

The fourth proportional to 74,499.94, 111,676.10 and 34,986.32 is: 52,444.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,499.94 : 111,676.10 = 34,986.32 : x
  2. Step 2: Convert to fraction form
    74,499.94/111,676.10 = 34,986.32/x
  3. Step 3: Cross multiply
    74,499.94x = 111,676.10 × 34,986.32
  4. Step 4: Simplify right side
    74,499.94x = 3,907,135,037.64
  5. Step 5: Solve for x
    x = 3,907,135,037.64/74,499.94
  6. Step 6: Final answer
    x = 52,444.81

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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.