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Finding the Fourth Proportional to 50,657.85, 75,986.84 and 13,217.90

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Solution

The fourth proportional to 50,657.85, 75,986.84 and 13,217.90 is: 19,826.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,657.85 : 75,986.84 = 13,217.90 : x
  2. Step 2: Convert to fraction form
    50,657.85/75,986.84 = 13,217.90/x
  3. Step 3: Cross multiply
    50,657.85x = 75,986.84 × 13,217.90
  4. Step 4: Simplify right side
    50,657.85x = 1,004,386,006.41
  5. Step 5: Solve for x
    x = 1,004,386,006.41/50,657.85
  6. Step 6: Final answer
    x = 19,826.86

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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.