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Finding the Fourth Proportional to 50,998.54, 76,513.02 and 24,364.48

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Solution

The fourth proportional to 50,998.54, 76,513.02 and 24,364.48 is: 36,553.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,998.54 : 76,513.02 = 24,364.48 : x
  2. Step 2: Convert to fraction form
    50,998.54/76,513.02 = 24,364.48/x
  3. Step 3: Cross multiply
    50,998.54x = 76,513.02 × 24,364.48
  4. Step 4: Simplify right side
    50,998.54x = 1,864,199,945.53
  5. Step 5: Solve for x
    x = 1,864,199,945.53/50,998.54
  6. Step 6: Final answer
    x = 36,553.99

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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.