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Finding the Fourth Proportional to 75,474.64, 113,172.92 and 33,886.16

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Solution

The fourth proportional to 75,474.64, 113,172.92 and 33,886.16 is: 50,811.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,474.64 : 113,172.92 = 33,886.16 : x
  2. Step 2: Convert to fraction form
    75,474.64/113,172.92 = 33,886.16/x
  3. Step 3: Cross multiply
    75,474.64x = 113,172.92 × 33,886.16
  4. Step 4: Simplify right side
    75,474.64x = 3,834,995,674.79
  5. Step 5: Solve for x
    x = 3,834,995,674.79/75,474.64
  6. Step 6: Final answer
    x = 50,811.71

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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.