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Finding the Fourth Proportional to 43,794.50, 65,702.10 and 14,212.28

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Solution

The fourth proportional to 43,794.50, 65,702.10 and 14,212.28 is: 21,321.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,794.50 : 65,702.10 = 14,212.28 : x
  2. Step 2: Convert to fraction form
    43,794.50/65,702.10 = 14,212.28/x
  3. Step 3: Cross multiply
    43,794.50x = 65,702.10 × 14,212.28
  4. Step 4: Simplify right side
    43,794.50x = 933,776,641.79
  5. Step 5: Solve for x
    x = 933,776,641.79/43,794.50
  6. Step 6: Final answer
    x = 21,321.78

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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.