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Finding the Fourth Proportional to 116,715, 175,072.50 and 29,163

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Solution

The fourth proportional to 116,715, 175,072.50 and 29,163 is: 43,744.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,715 : 175,072.50 = 29,163 : x
  2. Step 2: Convert to fraction form
    116,715/175,072.50 = 29,163/x
  3. Step 3: Cross multiply
    116,715x = 175,072.50 × 29,163
  4. Step 4: Simplify right side
    116,715x = 5,105,639,317.50
  5. Step 5: Solve for x
    x = 5,105,639,317.50/116,715
  6. Step 6: Final answer
    x = 43,744.50

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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.