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Finding the Fourth Proportional to 75,849.96, 113,737.50 and 23,246.76

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Solution

The fourth proportional to 75,849.96, 113,737.50 and 23,246.76 is: 34,858.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,849.96 : 113,737.50 = 23,246.76 : x
  2. Step 2: Convert to fraction form
    75,849.96/113,737.50 = 23,246.76/x
  3. Step 3: Cross multiply
    75,849.96x = 113,737.50 × 23,246.76
  4. Step 4: Simplify right side
    75,849.96x = 2,644,028,365.50
  5. Step 5: Solve for x
    x = 2,644,028,365.50/75,849.96
  6. Step 6: Final answer
    x = 34,858.67

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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.