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Finding the Fourth Proportional to 43,600, 65,410.24 and 14,416

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Solution

The fourth proportional to 43,600, 65,410.24 and 14,416 is: 21,627.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,600 : 65,410.24 = 14,416 : x
  2. Step 2: Convert to fraction form
    43,600/65,410.24 = 14,416/x
  3. Step 3: Cross multiply
    43,600x = 65,410.24 × 14,416
  4. Step 4: Simplify right side
    43,600x = 942,954,019.84
  5. Step 5: Solve for x
    x = 942,954,019.84/43,600
  6. Step 6: Final answer
    x = 21,627.39

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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.