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Finding the Fourth Proportional to 32,805.28, 49,207.84 and 8,181.28

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Solution

The fourth proportional to 32,805.28, 49,207.84 and 8,181.28 is: 12,271.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,805.28 : 49,207.84 = 8,181.28 : x
  2. Step 2: Convert to fraction form
    32,805.28/49,207.84 = 8,181.28/x
  3. Step 3: Cross multiply
    32,805.28x = 49,207.84 × 8,181.28
  4. Step 4: Simplify right side
    32,805.28x = 402,583,117.24
  5. Step 5: Solve for x
    x = 402,583,117.24/32,805.28
  6. Step 6: Final answer
    x = 12,271.90

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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.