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Finding the Fourth Proportional to 116,912.80, 175,398 and 33,815.20

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Solution

The fourth proportional to 116,912.80, 175,398 and 33,815.20 is: 50,731.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,912.80 : 175,398 = 33,815.20 : x
  2. Step 2: Convert to fraction form
    116,912.80/175,398 = 33,815.20/x
  3. Step 3: Cross multiply
    116,912.80x = 175,398 × 33,815.20
  4. Step 4: Simplify right side
    116,912.80x = 5,931,118,449.60
  5. Step 5: Solve for x
    x = 5,931,118,449.60/116,912.80
  6. Step 6: Final answer
    x = 50,731.13

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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.