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Finding the Fourth Proportional to 38,361.48, 57,507.59 and 16,176.20

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Solution

The fourth proportional to 38,361.48, 57,507.59 and 16,176.20 is: 24,249.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,361.48 : 57,507.59 = 16,176.20 : x
  2. Step 2: Convert to fraction form
    38,361.48/57,507.59 = 16,176.20/x
  3. Step 3: Cross multiply
    38,361.48x = 57,507.59 × 16,176.20
  4. Step 4: Simplify right side
    38,361.48x = 930,253,908.94
  5. Step 5: Solve for x
    x = 930,253,908.94/38,361.48
  6. Step 6: Final answer
    x = 24,249.69

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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.