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Finding the Fourth Proportional to 76,847.38, 106,050.19 and 43,313.38

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Solution

The fourth proportional to 76,847.38, 106,050.19 and 43,313.38 is: 59,772.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,847.38 : 106,050.19 = 43,313.38 : x
  2. Step 2: Convert to fraction form
    76,847.38/106,050.19 = 43,313.38/x
  3. Step 3: Cross multiply
    76,847.38x = 106,050.19 × 43,313.38
  4. Step 4: Simplify right side
    76,847.38x = 4,593,392,178.54
  5. Step 5: Solve for x
    x = 4,593,392,178.54/76,847.38
  6. Step 6: Final answer
    x = 59,772.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.