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Finding the Fourth Proportional to 27,450, 37,881 and 14,874.75

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Solution

The fourth proportional to 27,450, 37,881 and 14,874.75 is: 20,527.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,450 : 37,881 = 14,874.75 : x
  2. Step 2: Convert to fraction form
    27,450/37,881 = 14,874.75/x
  3. Step 3: Cross multiply
    27,450x = 37,881 × 14,874.75
  4. Step 4: Simplify right side
    27,450x = 563,470,404.75
  5. Step 5: Solve for x
    x = 563,470,404.75/27,450
  6. Step 6: Final answer
    x = 20,527.16

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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.