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Finding the Fourth Proportional to 43,605.60, 65,408.40 and 15,914.40

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Solution

The fourth proportional to 43,605.60, 65,408.40 and 15,914.40 is: 23,871.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,605.60 : 65,408.40 = 15,914.40 : x
  2. Step 2: Convert to fraction form
    43,605.60/65,408.40 = 15,914.40/x
  3. Step 3: Cross multiply
    43,605.60x = 65,408.40 × 15,914.40
  4. Step 4: Simplify right side
    43,605.60x = 1,040,935,440.96
  5. Step 5: Solve for x
    x = 1,040,935,440.96/43,605.60
  6. Step 6: Final answer
    x = 23,871.60

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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.