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Finding the Fourth Proportional to 76,711.68, 115,021.44 and 31,698.36

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Solution

The fourth proportional to 76,711.68, 115,021.44 and 31,698.36 is: 47,528.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,711.68 : 115,021.44 = 31,698.36 : x
  2. Step 2: Convert to fraction form
    76,711.68/115,021.44 = 31,698.36/x
  3. Step 3: Cross multiply
    76,711.68x = 115,021.44 × 31,698.36
  4. Step 4: Simplify right side
    76,711.68x = 3,645,991,012.84
  5. Step 5: Solve for x
    x = 3,645,991,012.84/76,711.68
  6. Step 6: Final answer
    x = 47,528.50

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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.