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Finding the Fourth Proportional to 36,310.42, 54,438 and 18,769.06

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Solution

The fourth proportional to 36,310.42, 54,438 and 18,769.06 is: 28,139.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,310.42 : 54,438 = 18,769.06 : x
  2. Step 2: Convert to fraction form
    36,310.42/54,438 = 18,769.06/x
  3. Step 3: Cross multiply
    36,310.42x = 54,438 × 18,769.06
  4. Step 4: Simplify right side
    36,310.42x = 1,021,750,088.28
  5. Step 5: Solve for x
    x = 1,021,750,088.28/36,310.42
  6. Step 6: Final answer
    x = 28,139.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.