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Finding the Fourth Proportional to 76,471.85, 114,707.78 and 29,735.66

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Solution

The fourth proportional to 76,471.85, 114,707.78 and 29,735.66 is: 44,603.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,471.85 : 114,707.78 = 29,735.66 : x
  2. Step 2: Convert to fraction form
    76,471.85/114,707.78 = 29,735.66/x
  3. Step 3: Cross multiply
    76,471.85x = 114,707.78 × 29,735.66
  4. Step 4: Simplify right side
    76,471.85x = 3,410,910,823.22
  5. Step 5: Solve for x
    x = 3,410,910,823.22/76,471.85
  6. Step 6: Final answer
    x = 44,603.49

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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.