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Finding the Fourth Proportional to 43,844.85, 65,774.17 and 14,255.77

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Solution

The fourth proportional to 43,844.85, 65,774.17 and 14,255.77 is: 21,385.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,844.85 : 65,774.17 = 14,255.77 : x
  2. Step 2: Convert to fraction form
    43,844.85/65,774.17 = 14,255.77/x
  3. Step 3: Cross multiply
    43,844.85x = 65,774.17 × 14,255.77
  4. Step 4: Simplify right side
    43,844.85x = 937,661,110.59
  5. Step 5: Solve for x
    x = 937,661,110.59/43,844.85
  6. Step 6: Final answer
    x = 21,385.89

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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.