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Finding the Fourth Proportional to 29,853.60, 44,769.60 and 12,076.80

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Solution

The fourth proportional to 29,853.60, 44,769.60 and 12,076.80 is: 18,110.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,853.60 : 44,769.60 = 12,076.80 : x
  2. Step 2: Convert to fraction form
    29,853.60/44,769.60 = 12,076.80/x
  3. Step 3: Cross multiply
    29,853.60x = 44,769.60 × 12,076.80
  4. Step 4: Simplify right side
    29,853.60x = 540,673,505.28
  5. Step 5: Solve for x
    x = 540,673,505.28/29,853.60
  6. Step 6: Final answer
    x = 18,110.83

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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.