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Finding the Fourth Proportional to 41,256, 56,948.04 and 24,489

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Solution

The fourth proportional to 41,256, 56,948.04 and 24,489 is: 33,803.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,256 : 56,948.04 = 24,489 : x
  2. Step 2: Convert to fraction form
    41,256/56,948.04 = 24,489/x
  3. Step 3: Cross multiply
    41,256x = 56,948.04 × 24,489
  4. Step 4: Simplify right side
    41,256x = 1,394,600,551.56
  5. Step 5: Solve for x
    x = 1,394,600,551.56/41,256
  6. Step 6: Final answer
    x = 33,803.58

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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.