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Finding the Fourth Proportional to 75,927.70, 113,891.55 and 34,374.70

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Solution

The fourth proportional to 75,927.70, 113,891.55 and 34,374.70 is: 51,562.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,927.70 : 113,891.55 = 34,374.70 : x
  2. Step 2: Convert to fraction form
    75,927.70/113,891.55 = 34,374.70/x
  3. Step 3: Cross multiply
    75,927.70x = 113,891.55 × 34,374.70
  4. Step 4: Simplify right side
    75,927.70x = 3,914,987,863.79
  5. Step 5: Solve for x
    x = 3,914,987,863.79/75,927.70
  6. Step 6: Final answer
    x = 51,562.05

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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.