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Finding the Fourth Proportional to 51,204.19, 76,819.25 and 14,268.19

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Solution

The fourth proportional to 51,204.19, 76,819.25 and 14,268.19 is: 21,405.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,204.19 : 76,819.25 = 14,268.19 : x
  2. Step 2: Convert to fraction form
    51,204.19/76,819.25 = 14,268.19/x
  3. Step 3: Cross multiply
    51,204.19x = 76,819.25 × 14,268.19
  4. Step 4: Simplify right side
    51,204.19x = 1,096,071,583.32
  5. Step 5: Solve for x
    x = 1,096,071,583.32/51,204.19
  6. Step 6: Final answer
    x = 21,405.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.