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Finding the Fourth Proportional to 27,387.50, 41,098.26 and 17,533.85

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Solution

The fourth proportional to 27,387.50, 41,098.26 and 17,533.85 is: 26,311.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,387.50 : 41,098.26 = 17,533.85 : x
  2. Step 2: Convert to fraction form
    27,387.50/41,098.26 = 17,533.85/x
  3. Step 3: Cross multiply
    27,387.50x = 41,098.26 × 17,533.85
  4. Step 4: Simplify right side
    27,387.50x = 720,610,894.60
  5. Step 5: Solve for x
    x = 720,610,894.60/27,387.50
  6. Step 6: Final answer
    x = 26,311.67

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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.