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Finding the Fourth Proportional to 76,199.96, 114,321.80 and 49,872.12

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Solution

The fourth proportional to 76,199.96, 114,321.80 and 49,872.12 is: 74,822.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,199.96 : 114,321.80 = 49,872.12 : x
  2. Step 2: Convert to fraction form
    76,199.96/114,321.80 = 49,872.12/x
  3. Step 3: Cross multiply
    76,199.96x = 114,321.80 × 49,872.12
  4. Step 4: Simplify right side
    76,199.96x = 5,701,470,652.90
  5. Step 5: Solve for x
    x = 5,701,470,652.90/76,199.96
  6. Step 6: Final answer
    x = 74,822.49

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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.