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Finding the Fourth Proportional to 27,181.80, 40,734.30 and 20,106.60

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Solution

The fourth proportional to 27,181.80, 40,734.30 and 20,106.60 is: 30,131.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,181.80 : 40,734.30 = 20,106.60 : x
  2. Step 2: Convert to fraction form
    27,181.80/40,734.30 = 20,106.60/x
  3. Step 3: Cross multiply
    27,181.80x = 40,734.30 × 20,106.60
  4. Step 4: Simplify right side
    27,181.80x = 819,028,276.38
  5. Step 5: Solve for x
    x = 819,028,276.38/27,181.80
  6. Step 6: Final answer
    x = 30,131.50

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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.