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Finding the Fourth Proportional to 76,243.68, 114,314.45 and 29,441.88

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Solution

The fourth proportional to 76,243.68, 114,314.45 and 29,441.88 is: 44,143.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,243.68 : 114,314.45 = 29,441.88 : x
  2. Step 2: Convert to fraction form
    76,243.68/114,314.45 = 29,441.88/x
  3. Step 3: Cross multiply
    76,243.68x = 114,314.45 × 29,441.88
  4. Step 4: Simplify right side
    76,243.68x = 3,365,632,171.96
  5. Step 5: Solve for x
    x = 3,365,632,171.96/76,243.68
  6. Step 6: Final answer
    x = 44,143.10

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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.