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Finding the Fourth Proportional to 100,406.12, 150,623.26 and 29,333.97

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Solution

The fourth proportional to 100,406.12, 150,623.26 and 29,333.97 is: 44,005.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,406.12 : 150,623.26 = 29,333.97 : x
  2. Step 2: Convert to fraction form
    100,406.12/150,623.26 = 29,333.97/x
  3. Step 3: Cross multiply
    100,406.12x = 150,623.26 × 29,333.97
  4. Step 4: Simplify right side
    100,406.12x = 4,418,378,116.81
  5. Step 5: Solve for x
    x = 4,418,378,116.81/100,406.12
  6. Step 6: Final answer
    x = 44,005.07

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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.