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Finding the Fourth Proportional to 116,842.94, 175,305.12 and 36,893.24

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Solution

The fourth proportional to 116,842.94, 175,305.12 and 36,893.24 is: 55,352.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,842.94 : 175,305.12 = 36,893.24 : x
  2. Step 2: Convert to fraction form
    116,842.94/175,305.12 = 36,893.24/x
  3. Step 3: Cross multiply
    116,842.94x = 175,305.12 × 36,893.24
  4. Step 4: Simplify right side
    116,842.94x = 6,467,573,865.39
  5. Step 5: Solve for x
    x = 6,467,573,865.39/116,842.94
  6. Step 6: Final answer
    x = 55,352.71

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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.