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Finding the Fourth Proportional to 41,257.76, 61,887.84 and 10,093

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Solution

The fourth proportional to 41,257.76, 61,887.84 and 10,093 is: 15,139.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,257.76 : 61,887.84 = 10,093 : x
  2. Step 2: Convert to fraction form
    41,257.76/61,887.84 = 10,093/x
  3. Step 3: Cross multiply
    41,257.76x = 61,887.84 × 10,093
  4. Step 4: Simplify right side
    41,257.76x = 624,633,969.12
  5. Step 5: Solve for x
    x = 624,633,969.12/41,257.76
  6. Step 6: Final answer
    x = 15,139.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.