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Finding the Fourth Proportional to 76,776.17, 115,289.26 and 47,380.86

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Solution

The fourth proportional to 76,776.17, 115,289.26 and 47,380.86 is: 71,148.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,776.17 : 115,289.26 = 47,380.86 : x
  2. Step 2: Convert to fraction form
    76,776.17/115,289.26 = 47,380.86/x
  3. Step 3: Cross multiply
    76,776.17x = 115,289.26 × 47,380.86
  4. Step 4: Simplify right side
    76,776.17x = 5,462,504,169.11
  5. Step 5: Solve for x
    x = 5,462,504,169.11/76,776.17
  6. Step 6: Final answer
    x = 71,148.44

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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.