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Finding the Fourth Proportional to 43,615.48, 65,423.26 and 15,907

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Solution

The fourth proportional to 43,615.48, 65,423.26 and 15,907 is: 23,860.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,615.48 : 65,423.26 = 15,907 : x
  2. Step 2: Convert to fraction form
    43,615.48/65,423.26 = 15,907/x
  3. Step 3: Cross multiply
    43,615.48x = 65,423.26 × 15,907
  4. Step 4: Simplify right side
    43,615.48x = 1,040,687,796.82
  5. Step 5: Solve for x
    x = 1,040,687,796.82/43,615.48
  6. Step 6: Final answer
    x = 23,860.51

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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.