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Finding the Fourth Proportional to 37,182.96, 51,311.34 and 20,186.40

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Solution

The fourth proportional to 37,182.96, 51,311.34 and 20,186.40 is: 27,856.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,182.96 : 51,311.34 = 20,186.40 : x
  2. Step 2: Convert to fraction form
    37,182.96/51,311.34 = 20,186.40/x
  3. Step 3: Cross multiply
    37,182.96x = 51,311.34 × 20,186.40
  4. Step 4: Simplify right side
    37,182.96x = 1,035,791,233.78
  5. Step 5: Solve for x
    x = 1,035,791,233.78/37,182.96
  6. Step 6: Final answer
    x = 27,856.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.