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Finding the Fourth Proportional to 74,355.80, 111,533.70 and 52,194.20

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Solution

The fourth proportional to 74,355.80, 111,533.70 and 52,194.20 is: 78,291.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,355.80 : 111,533.70 = 52,194.20 : x
  2. Step 2: Convert to fraction form
    74,355.80/111,533.70 = 52,194.20/x
  3. Step 3: Cross multiply
    74,355.80x = 111,533.70 × 52,194.20
  4. Step 4: Simplify right side
    74,355.80x = 5,821,412,244.54
  5. Step 5: Solve for x
    x = 5,821,412,244.54/74,355.80
  6. Step 6: Final answer
    x = 78,291.30

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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.