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Finding the Fourth Proportional to 38,459.28, 57,699.12 and 12,164.48

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Solution

The fourth proportional to 38,459.28, 57,699.12 and 12,164.48 is: 18,249.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,459.28 : 57,699.12 = 12,164.48 : x
  2. Step 2: Convert to fraction form
    38,459.28/57,699.12 = 12,164.48/x
  3. Step 3: Cross multiply
    38,459.28x = 57,699.12 × 12,164.48
  4. Step 4: Simplify right side
    38,459.28x = 701,879,791.26
  5. Step 5: Solve for x
    x = 701,879,791.26/38,459.28
  6. Step 6: Final answer
    x = 18,249.95

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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.