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Finding the Fourth Proportional to 76,810.80, 115,289.10 and 47,286.30

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Solution

The fourth proportional to 76,810.80, 115,289.10 and 47,286.30 is: 70,974.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,810.80 : 115,289.10 = 47,286.30 : x
  2. Step 2: Convert to fraction form
    76,810.80/115,289.10 = 47,286.30/x
  3. Step 3: Cross multiply
    76,810.80x = 115,289.10 × 47,286.30
  4. Step 4: Simplify right side
    76,810.80x = 5,451,594,969.33
  5. Step 5: Solve for x
    x = 5,451,594,969.33/76,810.80
  6. Step 6: Final answer
    x = 70,974.33

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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.