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Finding the Fourth Proportional to 43,494.96, 65,240.64 and 13,914.48

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Solution

The fourth proportional to 43,494.96, 65,240.64 and 13,914.48 is: 20,871.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,494.96 : 65,240.64 = 13,914.48 : x
  2. Step 2: Convert to fraction form
    43,494.96/65,240.64 = 13,914.48/x
  3. Step 3: Cross multiply
    43,494.96x = 65,240.64 × 13,914.48
  4. Step 4: Simplify right side
    43,494.96x = 907,789,580.47
  5. Step 5: Solve for x
    x = 907,789,580.47/43,494.96
  6. Step 6: Final answer
    x = 20,871.14

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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.