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Finding the Fourth Proportional to 34,974.37, 52,417.65 and 27,549.50

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Solution

The fourth proportional to 34,974.37, 52,417.65 and 27,549.50 is: 41,289.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,974.37 : 52,417.65 = 27,549.50 : x
  2. Step 2: Convert to fraction form
    34,974.37/52,417.65 = 27,549.50/x
  3. Step 3: Cross multiply
    34,974.37x = 52,417.65 × 27,549.50
  4. Step 4: Simplify right side
    34,974.37x = 1,444,080,179.72
  5. Step 5: Solve for x
    x = 1,444,080,179.72/34,974.37
  6. Step 6: Final answer
    x = 41,289.67

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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.