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Finding the Fourth Proportional to 41,859.64, 62,774 and 13,771.52

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Solution

The fourth proportional to 41,859.64, 62,774 and 13,771.52 is: 20,652.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,859.64 : 62,774 = 13,771.52 : x
  2. Step 2: Convert to fraction form
    41,859.64/62,774 = 13,771.52/x
  3. Step 3: Cross multiply
    41,859.64x = 62,774 × 13,771.52
  4. Step 4: Simplify right side
    41,859.64x = 864,493,396.48
  5. Step 5: Solve for x
    x = 864,493,396.48/41,859.64
  6. Step 6: Final answer
    x = 20,652.19

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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.