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Finding the Fourth Proportional to 107,706.24, 161,574.72 and 33,840

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Solution

The fourth proportional to 107,706.24, 161,574.72 and 33,840 is: 50,764.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,706.24 : 161,574.72 = 33,840 : x
  2. Step 2: Convert to fraction form
    107,706.24/161,574.72 = 33,840/x
  3. Step 3: Cross multiply
    107,706.24x = 161,574.72 × 33,840
  4. Step 4: Simplify right side
    107,706.24x = 5,467,688,524.80
  5. Step 5: Solve for x
    x = 5,467,688,524.80/107,706.24
  6. Step 6: Final answer
    x = 50,764.83

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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.