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Finding the Fourth Proportional to 76,195.26, 105,125 and 49,358.34

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Solution

The fourth proportional to 76,195.26, 105,125 and 49,358.34 is: 68,098.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,195.26 : 105,125 = 49,358.34 : x
  2. Step 2: Convert to fraction form
    76,195.26/105,125 = 49,358.34/x
  3. Step 3: Cross multiply
    76,195.26x = 105,125 × 49,358.34
  4. Step 4: Simplify right side
    76,195.26x = 5,188,795,492.50
  5. Step 5: Solve for x
    x = 5,188,795,492.50/76,195.26
  6. Step 6: Final answer
    x = 68,098.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.