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Finding the Fourth Proportional to 50,206.34, 75,256.97 and 16,914.90

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Solution

The fourth proportional to 50,206.34, 75,256.97 and 16,914.90 is: 25,354.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,206.34 : 75,256.97 = 16,914.90 : x
  2. Step 2: Convert to fraction form
    50,206.34/75,256.97 = 16,914.90/x
  3. Step 3: Cross multiply
    50,206.34x = 75,256.97 × 16,914.90
  4. Step 4: Simplify right side
    50,206.34x = 1,272,964,164.14
  5. Step 5: Solve for x
    x = 1,272,964,164.14/50,206.34
  6. Step 6: Final answer
    x = 25,354.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.