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Finding the Fourth Proportional to 74,148.34, 111,227.70 and 29,775.09

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Solution

The fourth proportional to 74,148.34, 111,227.70 and 29,775.09 is: 44,664.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,148.34 : 111,227.70 = 29,775.09 : x
  2. Step 2: Convert to fraction form
    74,148.34/111,227.70 = 29,775.09/x
  3. Step 3: Cross multiply
    74,148.34x = 111,227.70 × 29,775.09
  4. Step 4: Simplify right side
    74,148.34x = 3,311,815,249.18
  5. Step 5: Solve for x
    x = 3,311,815,249.18/74,148.34
  6. Step 6: Final answer
    x = 44,664.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.