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Finding the Fourth Proportional to 116,262, 174,394.68 and 33,156

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Solution

The fourth proportional to 116,262, 174,394.68 and 33,156 is: 49,734.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,262 : 174,394.68 = 33,156 : x
  2. Step 2: Convert to fraction form
    116,262/174,394.68 = 33,156/x
  3. Step 3: Cross multiply
    116,262x = 174,394.68 × 33,156
  4. Step 4: Simplify right side
    116,262x = 5,782,230,010.08
  5. Step 5: Solve for x
    x = 5,782,230,010.08/116,262
  6. Step 6: Final answer
    x = 49,734.48

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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.