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Finding the Fourth Proportional to 50,819.86, 70,129.51 and 29,310.50

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Solution

The fourth proportional to 50,819.86, 70,129.51 and 29,310.50 is: 40,447.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,819.86 : 70,129.51 = 29,310.50 : x
  2. Step 2: Convert to fraction form
    50,819.86/70,129.51 = 29,310.50/x
  3. Step 3: Cross multiply
    50,819.86x = 70,129.51 × 29,310.50
  4. Step 4: Simplify right side
    50,819.86x = 2,055,531,002.86
  5. Step 5: Solve for x
    x = 2,055,531,002.86/50,819.86
  6. Step 6: Final answer
    x = 40,447.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.