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Finding the Fourth Proportional to 41,828.88, 62,749.62 and 12,243

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Solution

The fourth proportional to 41,828.88, 62,749.62 and 12,243 is: 18,366.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,828.88 : 62,749.62 = 12,243 : x
  2. Step 2: Convert to fraction form
    41,828.88/62,749.62 = 12,243/x
  3. Step 3: Cross multiply
    41,828.88x = 62,749.62 × 12,243
  4. Step 4: Simplify right side
    41,828.88x = 768,243,597.66
  5. Step 5: Solve for x
    x = 768,243,597.66/41,828.88
  6. Step 6: Final answer
    x = 18,366.34

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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.