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Finding the Fourth Proportional to 116,856.14, 175,284.61 and 33,750.14

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Solution

The fourth proportional to 116,856.14, 175,284.61 and 33,750.14 is: 50,625.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,856.14 : 175,284.61 = 33,750.14 : x
  2. Step 2: Convert to fraction form
    116,856.14/175,284.61 = 33,750.14/x
  3. Step 3: Cross multiply
    116,856.14x = 175,284.61 × 33,750.14
  4. Step 4: Simplify right side
    116,856.14x = 5,915,879,166.55
  5. Step 5: Solve for x
    x = 5,915,879,166.55/116,856.14
  6. Step 6: Final answer
    x = 50,625.32

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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.