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Finding the Fourth Proportional to 43,794.60, 65,708.10 and 14,213.40

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Solution

The fourth proportional to 43,794.60, 65,708.10 and 14,213.40 is: 21,325.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,794.60 : 65,708.10 = 14,213.40 : x
  2. Step 2: Convert to fraction form
    43,794.60/65,708.10 = 14,213.40/x
  3. Step 3: Cross multiply
    43,794.60x = 65,708.10 × 14,213.40
  4. Step 4: Simplify right side
    43,794.60x = 933,935,508.54
  5. Step 5: Solve for x
    x = 933,935,508.54/43,794.60
  6. Step 6: Final answer
    x = 21,325.36

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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.