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Finding the Fourth Proportional to 74,288.61, 111,431.70 and 29,914.25

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Solution

The fourth proportional to 74,288.61, 111,431.70 and 29,914.25 is: 44,870.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,288.61 : 111,431.70 = 29,914.25 : x
  2. Step 2: Convert to fraction form
    74,288.61/111,431.70 = 29,914.25/x
  3. Step 3: Cross multiply
    74,288.61x = 111,431.70 × 29,914.25
  4. Step 4: Simplify right side
    74,288.61x = 3,333,395,174.57
  5. Step 5: Solve for x
    x = 3,333,395,174.57/74,288.61
  6. Step 6: Final answer
    x = 44,870.88

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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.