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Finding the Fourth Proportional to 41,102.82, 61,639.64 and 14,800.50

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Solution

The fourth proportional to 41,102.82, 61,639.64 and 14,800.50 is: 22,195.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,102.82 : 61,639.64 = 14,800.50 : x
  2. Step 2: Convert to fraction form
    41,102.82/61,639.64 = 14,800.50/x
  3. Step 3: Cross multiply
    41,102.82x = 61,639.64 × 14,800.50
  4. Step 4: Simplify right side
    41,102.82x = 912,297,491.82
  5. Step 5: Solve for x
    x = 912,297,491.82/41,102.82
  6. Step 6: Final answer
    x = 22,195.50

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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.