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Finding the Fourth Proportional to 50,206.35, 75,256.98 and 16,914.91

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Solution

The fourth proportional to 50,206.35, 75,256.98 and 16,914.91 is: 25,354.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,206.35 : 75,256.98 = 16,914.91 : x
  2. Step 2: Convert to fraction form
    50,206.35/75,256.98 = 16,914.91/x
  3. Step 3: Cross multiply
    50,206.35x = 75,256.98 × 16,914.91
  4. Step 4: Simplify right side
    50,206.35x = 1,272,965,043.57
  5. Step 5: Solve for x
    x = 1,272,965,043.57/50,206.35
  6. Step 6: Final answer
    x = 25,354.66

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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.