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Finding the Fourth Proportional to 67,057.96, 100,576.14 and 22,683.88

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Solution

The fourth proportional to 67,057.96, 100,576.14 and 22,683.88 is: 34,022.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,057.96 : 100,576.14 = 22,683.88 : x
  2. Step 2: Convert to fraction form
    67,057.96/100,576.14 = 22,683.88/x
  3. Step 3: Cross multiply
    67,057.96x = 100,576.14 × 22,683.88
  4. Step 4: Simplify right side
    67,057.96x = 2,281,457,090.62
  5. Step 5: Solve for x
    x = 2,281,457,090.62/67,057.96
  6. Step 6: Final answer
    x = 34,022.17

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Why These Related Problems?

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