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Finding the Fourth Proportional to 30,989.39, 42,765.57 and 16,842.23

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Solution

The fourth proportional to 30,989.39, 42,765.57 and 16,842.23 is: 23,242.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,989.39 : 42,765.57 = 16,842.23 : x
  2. Step 2: Convert to fraction form
    30,989.39/42,765.57 = 16,842.23/x
  3. Step 3: Cross multiply
    30,989.39x = 42,765.57 × 16,842.23
  4. Step 4: Simplify right side
    30,989.39x = 720,267,512.56
  5. Step 5: Solve for x
    x = 720,267,512.56/30,989.39
  6. Step 6: Final answer
    x = 23,242.39

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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.