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Finding the Fourth Proportional to 51,201.57, 76,815.30 and 14,265.57

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Solution

The fourth proportional to 51,201.57, 76,815.30 and 14,265.57 is: 21,401.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,201.57 : 76,815.30 = 14,265.57 : x
  2. Step 2: Convert to fraction form
    51,201.57/76,815.30 = 14,265.57/x
  3. Step 3: Cross multiply
    51,201.57x = 76,815.30 × 14,265.57
  4. Step 4: Simplify right side
    51,201.57x = 1,095,814,039.22
  5. Step 5: Solve for x
    x = 1,095,814,039.22/51,201.57
  6. Step 6: Final answer
    x = 21,401.96

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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.