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Finding the Fourth Proportional to 43,607.75, 65,412.26 and 12,443

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Solution

The fourth proportional to 43,607.75, 65,412.26 and 12,443 is: 18,664.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,607.75 : 65,412.26 = 12,443 : x
  2. Step 2: Convert to fraction form
    43,607.75/65,412.26 = 12,443/x
  3. Step 3: Cross multiply
    43,607.75x = 65,412.26 × 12,443
  4. Step 4: Simplify right side
    43,607.75x = 813,924,688.97
  5. Step 5: Solve for x
    x = 813,924,688.97/43,607.75
  6. Step 6: Final answer
    x = 18,664.68

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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.