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Finding the Fourth Proportional to 51,182.55, 76,763.09 and 19,582.09

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Solution

The fourth proportional to 51,182.55, 76,763.09 and 19,582.09 is: 29,369.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,182.55 : 76,763.09 = 19,582.09 : x
  2. Step 2: Convert to fraction form
    51,182.55/76,763.09 = 19,582.09/x
  3. Step 3: Cross multiply
    51,182.55x = 76,763.09 × 19,582.09
  4. Step 4: Simplify right side
    51,182.55x = 1,503,181,594.11
  5. Step 5: Solve for x
    x = 1,503,181,594.11/51,182.55
  6. Step 6: Final answer
    x = 29,369.03

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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.