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Finding the Fourth Proportional to 36,830.20, 50,829.78 and 24,917.80

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Solution

The fourth proportional to 36,830.20, 50,829.78 and 24,917.80 is: 34,389.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,830.20 : 50,829.78 = 24,917.80 : x
  2. Step 2: Convert to fraction form
    36,830.20/50,829.78 = 24,917.80/x
  3. Step 3: Cross multiply
    36,830.20x = 50,829.78 × 24,917.80
  4. Step 4: Simplify right side
    36,830.20x = 1,266,566,292.08
  5. Step 5: Solve for x
    x = 1,266,566,292.08/36,830.20
  6. Step 6: Final answer
    x = 34,389.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.