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Finding the Fourth Proportional to 36,444, 54,665.04 and 10,147.68

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Solution

The fourth proportional to 36,444, 54,665.04 and 10,147.68 is: 15,221.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,444 : 54,665.04 = 10,147.68 : x
  2. Step 2: Convert to fraction form
    36,444/54,665.04 = 10,147.68/x
  3. Step 3: Cross multiply
    36,444x = 54,665.04 × 10,147.68
  4. Step 4: Simplify right side
    36,444x = 554,723,333.11
  5. Step 5: Solve for x
    x = 554,723,333.11/36,444
  6. Step 6: Final answer
    x = 15,221.25

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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.