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Finding the Fourth Proportional to 76,465.94, 114,635.75 and 33,740.95

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Solution

The fourth proportional to 76,465.94, 114,635.75 and 33,740.95 is: 50,583.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,465.94 : 114,635.75 = 33,740.95 : x
  2. Step 2: Convert to fraction form
    76,465.94/114,635.75 = 33,740.95/x
  3. Step 3: Cross multiply
    76,465.94x = 114,635.75 × 33,740.95
  4. Step 4: Simplify right side
    76,465.94x = 3,867,918,906.73
  5. Step 5: Solve for x
    x = 3,867,918,906.73/76,465.94
  6. Step 6: Final answer
    x = 50,583.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.