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Finding the Fourth Proportional to 43,872, 65,814.84 and 14,282.85

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Solution

The fourth proportional to 43,872, 65,814.84 and 14,282.85 is: 21,426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,872 : 65,814.84 = 14,282.85 : x
  2. Step 2: Convert to fraction form
    43,872/65,814.84 = 14,282.85/x
  3. Step 3: Cross multiply
    43,872x = 65,814.84 × 14,282.85
  4. Step 4: Simplify right side
    43,872x = 940,023,487.49
  5. Step 5: Solve for x
    x = 940,023,487.49/43,872
  6. Step 6: Final answer
    x = 21,426.50

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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.