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Finding the Fourth Proportional to 41,265.72, 56,928.42 and 24,489

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Solution

The fourth proportional to 41,265.72, 56,928.42 and 24,489 is: 33,783.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,265.72 : 56,928.42 = 24,489 : x
  2. Step 2: Convert to fraction form
    41,265.72/56,928.42 = 24,489/x
  3. Step 3: Cross multiply
    41,265.72x = 56,928.42 × 24,489
  4. Step 4: Simplify right side
    41,265.72x = 1,394,120,077.38
  5. Step 5: Solve for x
    x = 1,394,120,077.38/41,265.72
  6. Step 6: Final answer
    x = 33,783.98

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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.