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Finding the Fourth Proportional to 20,536.80, 30,808.52 and 8,050.06

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Solution

The fourth proportional to 20,536.80, 30,808.52 and 8,050.06 is: 12,076.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,536.80 : 30,808.52 = 8,050.06 : x
  2. Step 2: Convert to fraction form
    20,536.80/30,808.52 = 8,050.06/x
  3. Step 3: Cross multiply
    20,536.80x = 30,808.52 × 8,050.06
  4. Step 4: Simplify right side
    20,536.80x = 248,010,434.51
  5. Step 5: Solve for x
    x = 248,010,434.51/20,536.80
  6. Step 6: Final answer
    x = 12,076.39

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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.