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Finding the Fourth Proportional to 30,756.38, 42,439.29 and 17,324.96

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Solution

The fourth proportional to 30,756.38, 42,439.29 and 17,324.96 is: 23,905.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,756.38 : 42,439.29 = 17,324.96 : x
  2. Step 2: Convert to fraction form
    30,756.38/42,439.29 = 17,324.96/x
  3. Step 3: Cross multiply
    30,756.38x = 42,439.29 × 17,324.96
  4. Step 4: Simplify right side
    30,756.38x = 735,259,001.68
  5. Step 5: Solve for x
    x = 735,259,001.68/30,756.38
  6. Step 6: Final answer
    x = 23,905.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.