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Finding the Fourth Proportional to 20,682.32, 31,023.06 and 5,100.08

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Solution

The fourth proportional to 20,682.32, 31,023.06 and 5,100.08 is: 7,650.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,682.32 : 31,023.06 = 5,100.08 : x
  2. Step 2: Convert to fraction form
    20,682.32/31,023.06 = 5,100.08/x
  3. Step 3: Cross multiply
    20,682.32x = 31,023.06 × 5,100.08
  4. Step 4: Simplify right side
    20,682.32x = 158,220,087.84
  5. Step 5: Solve for x
    x = 158,220,087.84/20,682.32
  6. Step 6: Final answer
    x = 7,650.02

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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.