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Finding the Fourth Proportional to 76,076.19, 114,141.30 and 33,952.44

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Solution

The fourth proportional to 76,076.19, 114,141.30 and 33,952.44 is: 50,940.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,076.19 : 114,141.30 = 33,952.44 : x
  2. Step 2: Convert to fraction form
    76,076.19/114,141.30 = 33,952.44/x
  3. Step 3: Cross multiply
    76,076.19x = 114,141.30 × 33,952.44
  4. Step 4: Simplify right side
    76,076.19x = 3,875,375,639.77
  5. Step 5: Solve for x
    x = 3,875,375,639.77/76,076.19
  6. Step 6: Final answer
    x = 50,940.72

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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.