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Finding the Fourth Proportional to 50,890.86, 76,316.67 and 24,216.30

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Solution

The fourth proportional to 50,890.86, 76,316.67 and 24,216.30 is: 36,315.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,890.86 : 76,316.67 = 24,216.30 : x
  2. Step 2: Convert to fraction form
    50,890.86/76,316.67 = 24,216.30/x
  3. Step 3: Cross multiply
    50,890.86x = 76,316.67 × 24,216.30
  4. Step 4: Simplify right side
    50,890.86x = 1,848,107,375.72
  5. Step 5: Solve for x
    x = 1,848,107,375.72/50,890.86
  6. Step 6: Final answer
    x = 36,315.11

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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.