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Finding the Fourth Proportional to 50,819.86, 76,237.18 and 15,762.34

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Solution

The fourth proportional to 50,819.86, 76,237.18 and 15,762.34 is: 23,645.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,819.86 : 76,237.18 = 15,762.34 : x
  2. Step 2: Convert to fraction form
    50,819.86/76,237.18 = 15,762.34/x
  3. Step 3: Cross multiply
    50,819.86x = 76,237.18 × 15,762.34
  4. Step 4: Simplify right side
    50,819.86x = 1,201,676,351.80
  5. Step 5: Solve for x
    x = 1,201,676,351.80/50,819.86
  6. Step 6: Final answer
    x = 23,645.80

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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.