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Finding the Fourth Proportional to 74,145, 111,231.48 and 29,775.24

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Solution

The fourth proportional to 74,145, 111,231.48 and 29,775.24 is: 44,668.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,145 : 111,231.48 = 29,775.24 : x
  2. Step 2: Convert to fraction form
    74,145/111,231.48 = 29,775.24/x
  3. Step 3: Cross multiply
    74,145x = 111,231.48 × 29,775.24
  4. Step 4: Simplify right side
    74,145x = 3,311,944,012.56
  5. Step 5: Solve for x
    x = 3,311,944,012.56/74,145
  6. Step 6: Final answer
    x = 44,668.47

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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.