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Finding the Fourth Proportional to 41,553, 62,332.74 and 13,851

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Solution

The fourth proportional to 41,553, 62,332.74 and 13,851 is: 20,777.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,553 : 62,332.74 = 13,851 : x
  2. Step 2: Convert to fraction form
    41,553/62,332.74 = 13,851/x
  3. Step 3: Cross multiply
    41,553x = 62,332.74 × 13,851
  4. Step 4: Simplify right side
    41,553x = 863,370,781.74
  5. Step 5: Solve for x
    x = 863,370,781.74/41,553
  6. Step 6: Final answer
    x = 20,777.58

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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.