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Finding the Fourth Proportional to 70,648, 106,020.60 and 29,095

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Solution

The fourth proportional to 70,648, 106,020.60 and 29,095 is: 43,662.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,648 : 106,020.60 = 29,095 : x
  2. Step 2: Convert to fraction form
    70,648/106,020.60 = 29,095/x
  3. Step 3: Cross multiply
    70,648x = 106,020.60 × 29,095
  4. Step 4: Simplify right side
    70,648x = 3,084,669,357
  5. Step 5: Solve for x
    x = 3,084,669,357/70,648
  6. Step 6: Final answer
    x = 43,662.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.