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Finding the Fourth Proportional to 37,120.87, 55,689.50 and 10,827.67

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Solution

The fourth proportional to 37,120.87, 55,689.50 and 10,827.67 is: 16,243.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,120.87 : 55,689.50 = 10,827.67 : x
  2. Step 2: Convert to fraction form
    37,120.87/55,689.50 = 10,827.67/x
  3. Step 3: Cross multiply
    37,120.87x = 55,689.50 × 10,827.67
  4. Step 4: Simplify right side
    37,120.87x = 602,987,474.33
  5. Step 5: Solve for x
    x = 602,987,474.33/37,120.87
  6. Step 6: Final answer
    x = 16,243.89

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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.