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Finding the Fourth Proportional to 75,959.40, 113,839.96 and 54,970.12

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Solution

The fourth proportional to 75,959.40, 113,839.96 and 54,970.12 is: 82,383.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,959.40 : 113,839.96 = 54,970.12 : x
  2. Step 2: Convert to fraction form
    75,959.40/113,839.96 = 54,970.12/x
  3. Step 3: Cross multiply
    75,959.40x = 113,839.96 × 54,970.12
  4. Step 4: Simplify right side
    75,959.40x = 6,257,796,262.00
  5. Step 5: Solve for x
    x = 6,257,796,262.00/75,959.40
  6. Step 6: Final answer
    x = 82,383.43

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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.