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Finding the Fourth Proportional to 30,596.36, 42,241.38 and 20,003.72

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Solution

The fourth proportional to 30,596.36, 42,241.38 and 20,003.72 is: 27,617.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,596.36 : 42,241.38 = 20,003.72 : x
  2. Step 2: Convert to fraction form
    30,596.36/42,241.38 = 20,003.72/x
  3. Step 3: Cross multiply
    30,596.36x = 42,241.38 × 20,003.72
  4. Step 4: Simplify right side
    30,596.36x = 844,984,737.93
  5. Step 5: Solve for x
    x = 844,984,737.93/30,596.36
  6. Step 6: Final answer
    x = 27,617.17

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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.