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Finding the Fourth Proportional to 43,365.16, 65,040.18 and 12,193

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Solution

The fourth proportional to 43,365.16, 65,040.18 and 12,193 is: 18,287.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,365.16 : 65,040.18 = 12,193 : x
  2. Step 2: Convert to fraction form
    43,365.16/65,040.18 = 12,193/x
  3. Step 3: Cross multiply
    43,365.16x = 65,040.18 × 12,193
  4. Step 4: Simplify right side
    43,365.16x = 793,034,914.74
  5. Step 5: Solve for x
    x = 793,034,914.74/43,365.16
  6. Step 6: Final answer
    x = 18,287.37

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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.