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Finding the Fourth Proportional to 116,469, 174,703.50 and 28,917

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Solution

The fourth proportional to 116,469, 174,703.50 and 28,917 is: 43,375.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,469 : 174,703.50 = 28,917 : x
  2. Step 2: Convert to fraction form
    116,469/174,703.50 = 28,917/x
  3. Step 3: Cross multiply
    116,469x = 174,703.50 × 28,917
  4. Step 4: Simplify right side
    116,469x = 5,051,901,109.50
  5. Step 5: Solve for x
    x = 5,051,901,109.50/116,469
  6. Step 6: Final answer
    x = 43,375.50

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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.