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Finding the Fourth Proportional to 36,288, 54,425.68 and 9,634.16

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Solution

The fourth proportional to 36,288, 54,425.68 and 9,634.16 is: 14,449.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,288 : 54,425.68 = 9,634.16 : x
  2. Step 2: Convert to fraction form
    36,288/54,425.68 = 9,634.16/x
  3. Step 3: Cross multiply
    36,288x = 54,425.68 × 9,634.16
  4. Step 4: Simplify right side
    36,288x = 524,345,709.23
  5. Step 5: Solve for x
    x = 524,345,709.23/36,288
  6. Step 6: Final answer
    x = 14,449.56

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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.