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Finding the Fourth Proportional to 27,085.46, 37,378.02 and 15,149

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Solution

The fourth proportional to 27,085.46, 37,378.02 and 15,149 is: 20,905.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,085.46 : 37,378.02 = 15,149 : x
  2. Step 2: Convert to fraction form
    27,085.46/37,378.02 = 15,149/x
  3. Step 3: Cross multiply
    27,085.46x = 37,378.02 × 15,149
  4. Step 4: Simplify right side
    27,085.46x = 566,239,624.98
  5. Step 5: Solve for x
    x = 566,239,624.98/27,085.46
  6. Step 6: Final answer
    x = 20,905.67

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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.