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Finding the Fourth Proportional to 74,209.70, 111,314.56 and 18,049.46

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Solution

The fourth proportional to 74,209.70, 111,314.56 and 18,049.46 is: 27,074.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,209.70 : 111,314.56 = 18,049.46 : x
  2. Step 2: Convert to fraction form
    74,209.70/111,314.56 = 18,049.46/x
  3. Step 3: Cross multiply
    74,209.70x = 111,314.56 × 18,049.46
  4. Step 4: Simplify right side
    74,209.70x = 2,009,167,698.14
  5. Step 5: Solve for x
    x = 2,009,167,698.14/74,209.70
  6. Step 6: Final answer
    x = 27,074.19

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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.