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Finding the Fourth Proportional to 50,998.49, 76,386.76 and 24,647.75

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Solution

The fourth proportional to 50,998.49, 76,386.76 and 24,647.75 is: 36,917.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,998.49 : 76,386.76 = 24,647.75 : x
  2. Step 2: Convert to fraction form
    50,998.49/76,386.76 = 24,647.75/x
  3. Step 3: Cross multiply
    50,998.49x = 76,386.76 × 24,647.75
  4. Step 4: Simplify right side
    50,998.49x = 1,882,761,763.79
  5. Step 5: Solve for x
    x = 1,882,761,763.79/50,998.49
  6. Step 6: Final answer
    x = 36,917.99

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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.