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Finding the Fourth Proportional to 41,257, 56,949.44 and 24,490

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Solution

The fourth proportional to 41,257, 56,949.44 and 24,490 is: 33,804.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,257 : 56,949.44 = 24,490 : x
  2. Step 2: Convert to fraction form
    41,257/56,949.44 = 24,490/x
  3. Step 3: Cross multiply
    41,257x = 56,949.44 × 24,490
  4. Step 4: Simplify right side
    41,257x = 1,394,691,785.60
  5. Step 5: Solve for x
    x = 1,394,691,785.60/41,257
  6. Step 6: Final answer
    x = 33,804.97

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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.