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Finding the Fourth Proportional to 30,257.89, 41,752.67 and 16,826.94

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Solution

The fourth proportional to 30,257.89, 41,752.67 and 16,826.94 is: 23,219.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,257.89 : 41,752.67 = 16,826.94 : x
  2. Step 2: Convert to fraction form
    30,257.89/41,752.67 = 16,826.94/x
  3. Step 3: Cross multiply
    30,257.89x = 41,752.67 × 16,826.94
  4. Step 4: Simplify right side
    30,257.89x = 702,569,588.80
  5. Step 5: Solve for x
    x = 702,569,588.80/30,257.89
  6. Step 6: Final answer
    x = 23,219.39

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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.