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Finding the Fourth Proportional to 52,119.69, 78,176.42 and 32,133

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Solution

The fourth proportional to 52,119.69, 78,176.42 and 32,133 is: 48,197.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,119.69 : 78,176.42 = 32,133 : x
  2. Step 2: Convert to fraction form
    52,119.69/78,176.42 = 32,133/x
  3. Step 3: Cross multiply
    52,119.69x = 78,176.42 × 32,133
  4. Step 4: Simplify right side
    52,119.69x = 2,512,042,743.20
  5. Step 5: Solve for x
    x = 2,512,042,743.20/52,119.69
  6. Step 6: Final answer
    x = 48,197.58

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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.