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Finding the Fourth Proportional to 116,184.34, 174,276.48 and 33,078.34

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Solution

The fourth proportional to 116,184.34, 174,276.48 and 33,078.34 is: 49,617.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,184.34 : 174,276.48 = 33,078.34 : x
  2. Step 2: Convert to fraction form
    116,184.34/174,276.48 = 33,078.34/x
  3. Step 3: Cross multiply
    116,184.34x = 174,276.48 × 33,078.34
  4. Step 4: Simplify right side
    116,184.34x = 5,764,776,659.44
  5. Step 5: Solve for x
    x = 5,764,776,659.44/116,184.34
  6. Step 6: Final answer
    x = 49,617.50

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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.