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Finding the Fourth Proportional to 74,159.54, 111,239.24 and 29,786.30

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Solution

The fourth proportional to 74,159.54, 111,239.24 and 29,786.30 is: 44,679.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,159.54 : 111,239.24 = 29,786.30 : x
  2. Step 2: Convert to fraction form
    74,159.54/111,239.24 = 29,786.30/x
  3. Step 3: Cross multiply
    74,159.54x = 111,239.24 × 29,786.30
  4. Step 4: Simplify right side
    74,159.54x = 3,313,404,933.71
  5. Step 5: Solve for x
    x = 3,313,404,933.71/74,159.54
  6. Step 6: Final answer
    x = 44,679.42

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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.