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Finding the Fourth Proportional to 70,573.77, 105,855.80 and 33,081.30

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Solution

The fourth proportional to 70,573.77, 105,855.80 and 33,081.30 is: 49,619.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,573.77 : 105,855.80 = 33,081.30 : x
  2. Step 2: Convert to fraction form
    70,573.77/105,855.80 = 33,081.30/x
  3. Step 3: Cross multiply
    70,573.77x = 105,855.80 × 33,081.30
  4. Step 4: Simplify right side
    70,573.77x = 3,501,847,311.13
  5. Step 5: Solve for x
    x = 3,501,847,311.13/70,573.77
  6. Step 6: Final answer
    x = 49,619.67

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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.