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Finding the Fourth Proportional to 116,139.40, 174,209.10 and 33,022.60

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Solution

The fourth proportional to 116,139.40, 174,209.10 and 33,022.60 is: 49,533.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,139.40 : 174,209.10 = 33,022.60 : x
  2. Step 2: Convert to fraction form
    116,139.40/174,209.10 = 33,022.60/x
  3. Step 3: Cross multiply
    116,139.40x = 174,209.10 × 33,022.60
  4. Step 4: Simplify right side
    116,139.40x = 5,752,837,425.66
  5. Step 5: Solve for x
    x = 5,752,837,425.66/116,139.40
  6. Step 6: Final answer
    x = 49,533.90

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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.