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Finding the Fourth Proportional to 70,984.76, 106,487.46 and 33,015.80

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Solution

The fourth proportional to 70,984.76, 106,487.46 and 33,015.80 is: 49,528.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,984.76 : 106,487.46 = 33,015.80 : x
  2. Step 2: Convert to fraction form
    70,984.76/106,487.46 = 33,015.80/x
  3. Step 3: Cross multiply
    70,984.76x = 106,487.46 × 33,015.80
  4. Step 4: Simplify right side
    70,984.76x = 3,515,768,948.09
  5. Step 5: Solve for x
    x = 3,515,768,948.09/70,984.76
  6. Step 6: Final answer
    x = 49,528.51

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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.