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Finding the Fourth Proportional to 41,583.70, 62,414.70 and 21,876.40

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Solution

The fourth proportional to 41,583.70, 62,414.70 and 21,876.40 is: 32,835.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,583.70 : 62,414.70 = 21,876.40 : x
  2. Step 2: Convert to fraction form
    41,583.70/62,414.70 = 21,876.40/x
  3. Step 3: Cross multiply
    41,583.70x = 62,414.70 × 21,876.40
  4. Step 4: Simplify right side
    41,583.70x = 1,365,408,943.08
  5. Step 5: Solve for x
    x = 1,365,408,943.08/41,583.70
  6. Step 6: Final answer
    x = 32,835.20

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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.