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Finding the Fourth Proportional to 76,084.91, 114,033.88 and 42,734.87

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Solution

The fourth proportional to 76,084.91, 114,033.88 and 42,734.87 is: 64,049.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,084.91 : 114,033.88 = 42,734.87 : x
  2. Step 2: Convert to fraction form
    76,084.91/114,033.88 = 42,734.87/x
  3. Step 3: Cross multiply
    76,084.91x = 114,033.88 × 42,734.87
  4. Step 4: Simplify right side
    76,084.91x = 4,873,222,360.39
  5. Step 5: Solve for x
    x = 4,873,222,360.39/76,084.91
  6. Step 6: Final answer
    x = 64,049.79

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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.