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Finding the Fourth Proportional to 116,207.50, 174,313.68 and 33,101.50

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Solution

The fourth proportional to 116,207.50, 174,313.68 and 33,101.50 is: 49,652.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,207.50 : 174,313.68 = 33,101.50 : x
  2. Step 2: Convert to fraction form
    116,207.50/174,313.68 = 33,101.50/x
  3. Step 3: Cross multiply
    116,207.50x = 174,313.68 × 33,101.50
  4. Step 4: Simplify right side
    116,207.50x = 5,770,044,278.52
  5. Step 5: Solve for x
    x = 5,770,044,278.52/116,207.50
  6. Step 6: Final answer
    x = 49,652.94

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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.