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Finding the Fourth Proportional to 41,402, 62,109.52 and 13,706.48

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Solution

The fourth proportional to 41,402, 62,109.52 and 13,706.48 is: 20,561.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,402 : 62,109.52 = 13,706.48 : x
  2. Step 2: Convert to fraction form
    41,402/62,109.52 = 13,706.48/x
  3. Step 3: Cross multiply
    41,402x = 62,109.52 × 13,706.48
  4. Step 4: Simplify right side
    41,402x = 851,302,893.69
  5. Step 5: Solve for x
    x = 851,302,893.69/41,402
  6. Step 6: Final answer
    x = 20,561.88

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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.