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Finding the Fourth Proportional to 73,635.68, 110,287.36 and 34,109.76

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Solution

The fourth proportional to 73,635.68, 110,287.36 and 34,109.76 is: 51,087.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,635.68 : 110,287.36 = 34,109.76 : x
  2. Step 2: Convert to fraction form
    73,635.68/110,287.36 = 34,109.76/x
  3. Step 3: Cross multiply
    73,635.68x = 110,287.36 × 34,109.76
  4. Step 4: Simplify right side
    73,635.68x = 3,761,875,380.63
  5. Step 5: Solve for x
    x = 3,761,875,380.63/73,635.68
  6. Step 6: Final answer
    x = 51,087.67

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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.