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Finding the Fourth Proportional to 41,446, 62,181.13 and 13,365.49

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Solution

The fourth proportional to 41,446, 62,181.13 and 13,365.49 is: 20,052.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,446 : 62,181.13 = 13,365.49 : x
  2. Step 2: Convert to fraction form
    41,446/62,181.13 = 13,365.49/x
  3. Step 3: Cross multiply
    41,446x = 62,181.13 × 13,365.49
  4. Step 4: Simplify right side
    41,446x = 831,081,271.20
  5. Step 5: Solve for x
    x = 831,081,271.20/41,446
  6. Step 6: Final answer
    x = 20,052.15

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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.