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Finding the Fourth Proportional to 115,784.42, 173,676.62 and 32,678.42

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Solution

The fourth proportional to 115,784.42, 173,676.62 and 32,678.42 is: 49,017.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,784.42 : 173,676.62 = 32,678.42 : x
  2. Step 2: Convert to fraction form
    115,784.42/173,676.62 = 32,678.42/x
  3. Step 3: Cross multiply
    115,784.42x = 173,676.62 × 32,678.42
  4. Step 4: Simplify right side
    115,784.42x = 5,675,476,745.85
  5. Step 5: Solve for x
    x = 5,675,476,745.85/115,784.42
  6. Step 6: Final answer
    x = 49,017.62

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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.