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Finding the Fourth Proportional to 76,049.98, 114,076.14 and 23,459.38

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Solution

The fourth proportional to 76,049.98, 114,076.14 and 23,459.38 is: 35,189.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,049.98 : 114,076.14 = 23,459.38 : x
  2. Step 2: Convert to fraction form
    76,049.98/114,076.14 = 23,459.38/x
  3. Step 3: Cross multiply
    76,049.98x = 114,076.14 × 23,459.38
  4. Step 4: Simplify right side
    76,049.98x = 2,676,155,517.19
  5. Step 5: Solve for x
    x = 2,676,155,517.19/76,049.98
  6. Step 6: Final answer
    x = 35,189.43

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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.