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Finding the Fourth Proportional to 76,821.96, 115,157.52 and 36,794.88

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Solution

The fourth proportional to 76,821.96, 115,157.52 and 36,794.88 is: 55,156.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,821.96 : 115,157.52 = 36,794.88 : x
  2. Step 2: Convert to fraction form
    76,821.96/115,157.52 = 36,794.88/x
  3. Step 3: Cross multiply
    76,821.96x = 115,157.52 × 36,794.88
  4. Step 4: Simplify right side
    76,821.96x = 4,237,207,129.50
  5. Step 5: Solve for x
    x = 4,237,207,129.50/76,821.96
  6. Step 6: Final answer
    x = 55,156.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.