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Finding the Fourth Proportional to 30,765.38, 42,446.50 and 18,822.74

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Solution

The fourth proportional to 30,765.38, 42,446.50 and 18,822.74 is: 25,969.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,765.38 : 42,446.50 = 18,822.74 : x
  2. Step 2: Convert to fraction form
    30,765.38/42,446.50 = 18,822.74/x
  3. Step 3: Cross multiply
    30,765.38x = 42,446.50 × 18,822.74
  4. Step 4: Simplify right side
    30,765.38x = 798,959,174.12
  5. Step 5: Solve for x
    x = 798,959,174.12/30,765.38
  6. Step 6: Final answer
    x = 25,969.43

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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.