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Finding the Fourth Proportional to 36,657.64, 54,995.64 and 20,013.22

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Solution

The fourth proportional to 36,657.64, 54,995.64 and 20,013.22 is: 30,024.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,657.64 : 54,995.64 = 20,013.22 : x
  2. Step 2: Convert to fraction form
    36,657.64/54,995.64 = 20,013.22/x
  3. Step 3: Cross multiply
    36,657.64x = 54,995.64 × 20,013.22
  4. Step 4: Simplify right side
    36,657.64x = 1,100,639,842.36
  5. Step 5: Solve for x
    x = 1,100,639,842.36/36,657.64
  6. Step 6: Final answer
    x = 30,024.84

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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.