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Finding the Fourth Proportional to 70,864, 106,309.06 and 29,314.24

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Solution

The fourth proportional to 70,864, 106,309.06 and 29,314.24 is: 43,976.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,864 : 106,309.06 = 29,314.24 : x
  2. Step 2: Convert to fraction form
    70,864/106,309.06 = 29,314.24/x
  3. Step 3: Cross multiply
    70,864x = 106,309.06 × 29,314.24
  4. Step 4: Simplify right side
    70,864x = 3,116,369,299.01
  5. Step 5: Solve for x
    x = 3,116,369,299.01/70,864
  6. Step 6: Final answer
    x = 43,976.76

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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.