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Finding the Fourth Proportional to 41,594.50, 62,391.75 and 13,892.50

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Solution

The fourth proportional to 41,594.50, 62,391.75 and 13,892.50 is: 20,838.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,594.50 : 62,391.75 = 13,892.50 : x
  2. Step 2: Convert to fraction form
    41,594.50/62,391.75 = 13,892.50/x
  3. Step 3: Cross multiply
    41,594.50x = 62,391.75 × 13,892.50
  4. Step 4: Simplify right side
    41,594.50x = 866,777,386.88
  5. Step 5: Solve for x
    x = 866,777,386.88/41,594.50
  6. Step 6: Final answer
    x = 20,838.75

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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.