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Finding the Fourth Proportional to 50,537.64, 75,774.03 and 20,975.88

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Solution

The fourth proportional to 50,537.64, 75,774.03 and 20,975.88 is: 31,450.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,537.64 : 75,774.03 = 20,975.88 : x
  2. Step 2: Convert to fraction form
    50,537.64/75,774.03 = 20,975.88/x
  3. Step 3: Cross multiply
    50,537.64x = 75,774.03 × 20,975.88
  4. Step 4: Simplify right side
    50,537.64x = 1,589,426,960.40
  5. Step 5: Solve for x
    x = 1,589,426,960.40/50,537.64
  6. Step 6: Final answer
    x = 31,450.36

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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.