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Finding the Fourth Proportional to 76,738.21, 105,874.36 and 43,197.73

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Solution

The fourth proportional to 76,738.21, 105,874.36 and 43,197.73 is: 59,599.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,738.21 : 105,874.36 = 43,197.73 : x
  2. Step 2: Convert to fraction form
    76,738.21/105,874.36 = 43,197.73/x
  3. Step 3: Cross multiply
    76,738.21x = 105,874.36 × 43,197.73
  4. Step 4: Simplify right side
    76,738.21x = 4,573,532,017.20
  5. Step 5: Solve for x
    x = 4,573,532,017.20/76,738.21
  6. Step 6: Final answer
    x = 59,599.15

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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.