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Finding the Fourth Proportional to 27,205.70, 40,808.55 and 20,207.30

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Solution

The fourth proportional to 27,205.70, 40,808.55 and 20,207.30 is: 30,310.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,205.70 : 40,808.55 = 20,207.30 : x
  2. Step 2: Convert to fraction form
    27,205.70/40,808.55 = 20,207.30/x
  3. Step 3: Cross multiply
    27,205.70x = 40,808.55 × 20,207.30
  4. Step 4: Simplify right side
    27,205.70x = 824,630,612.42
  5. Step 5: Solve for x
    x = 824,630,612.42/27,205.70
  6. Step 6: Final answer
    x = 30,310.95

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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.