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Finding the Fourth Proportional to 70,758.66, 106,099.56 and 35,141.84

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Solution

The fourth proportional to 70,758.66, 106,099.56 and 35,141.84 is: 52,693.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,758.66 : 106,099.56 = 35,141.84 : x
  2. Step 2: Convert to fraction form
    70,758.66/106,099.56 = 35,141.84/x
  3. Step 3: Cross multiply
    70,758.66x = 106,099.56 × 35,141.84
  4. Step 4: Simplify right side
    70,758.66x = 3,728,533,231.09
  5. Step 5: Solve for x
    x = 3,728,533,231.09/70,758.66
  6. Step 6: Final answer
    x = 52,693.67

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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.