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Finding the Fourth Proportional to 50,234.86, 75,298.83 and 23,883.94

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Solution

The fourth proportional to 50,234.86, 75,298.83 and 23,883.94 is: 35,800.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,234.86 : 75,298.83 = 23,883.94 : x
  2. Step 2: Convert to fraction form
    50,234.86/75,298.83 = 23,883.94/x
  3. Step 3: Cross multiply
    50,234.86x = 75,298.83 × 23,883.94
  4. Step 4: Simplify right side
    50,234.86x = 1,798,432,737.79
  5. Step 5: Solve for x
    x = 1,798,432,737.79/50,234.86
  6. Step 6: Final answer
    x = 35,800.49

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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.