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Finding the Fourth Proportional to 41,604.48, 62,393.76 and 13,896

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Solution

The fourth proportional to 41,604.48, 62,393.76 and 13,896 is: 20,839.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,604.48 : 62,393.76 = 13,896 : x
  2. Step 2: Convert to fraction form
    41,604.48/62,393.76 = 13,896/x
  3. Step 3: Cross multiply
    41,604.48x = 62,393.76 × 13,896
  4. Step 4: Simplify right side
    41,604.48x = 867,023,688.96
  5. Step 5: Solve for x
    x = 867,023,688.96/41,604.48
  6. Step 6: Final answer
    x = 20,839.67

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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.