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Finding the Fourth Proportional to 116,716.50, 175,074.75 and 29,164.50

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Solution

The fourth proportional to 116,716.50, 175,074.75 and 29,164.50 is: 43,746.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,716.50 : 175,074.75 = 29,164.50 : x
  2. Step 2: Convert to fraction form
    116,716.50/175,074.75 = 29,164.50/x
  3. Step 3: Cross multiply
    116,716.50x = 175,074.75 × 29,164.50
  4. Step 4: Simplify right side
    116,716.50x = 5,105,967,546.38
  5. Step 5: Solve for x
    x = 5,105,967,546.38/116,716.50
  6. Step 6: Final answer
    x = 43,746.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.