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Finding the Fourth Proportional to 38,191.08, 57,287.58 and 10,489

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Solution

The fourth proportional to 38,191.08, 57,287.58 and 10,489 is: 15,733.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,191.08 : 57,287.58 = 10,489 : x
  2. Step 2: Convert to fraction form
    38,191.08/57,287.58 = 10,489/x
  3. Step 3: Cross multiply
    38,191.08x = 57,287.58 × 10,489
  4. Step 4: Simplify right side
    38,191.08x = 600,889,426.62
  5. Step 5: Solve for x
    x = 600,889,426.62/38,191.08
  6. Step 6: Final answer
    x = 15,733.76

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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.