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Finding the Fourth Proportional to 68,195.82, 102,347.73 and 28,780.14

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Solution

The fourth proportional to 68,195.82, 102,347.73 and 28,780.14 is: 43,193.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,195.82 : 102,347.73 = 28,780.14 : x
  2. Step 2: Convert to fraction form
    68,195.82/102,347.73 = 28,780.14/x
  3. Step 3: Cross multiply
    68,195.82x = 102,347.73 × 28,780.14
  4. Step 4: Simplify right side
    68,195.82x = 2,945,581,998.08
  5. Step 5: Solve for x
    x = 2,945,581,998.08/68,195.82
  6. Step 6: Final answer
    x = 43,193.00

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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.