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Finding the Fourth Proportional to 43,444, 65,166.64 and 10,612

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Solution

The fourth proportional to 43,444, 65,166.64 and 10,612 is: 15,918.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,444 : 65,166.64 = 10,612 : x
  2. Step 2: Convert to fraction form
    43,444/65,166.64 = 10,612/x
  3. Step 3: Cross multiply
    43,444x = 65,166.64 × 10,612
  4. Step 4: Simplify right side
    43,444x = 691,548,383.68
  5. Step 5: Solve for x
    x = 691,548,383.68/43,444
  6. Step 6: Final answer
    x = 15,918.16

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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.