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Finding the Fourth Proportional to 38,562.44, 57,804.78 and 29,309

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Solution

The fourth proportional to 38,562.44, 57,804.78 and 29,309 is: 43,933.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,562.44 : 57,804.78 = 29,309 : x
  2. Step 2: Convert to fraction form
    38,562.44/57,804.78 = 29,309/x
  3. Step 3: Cross multiply
    38,562.44x = 57,804.78 × 29,309
  4. Step 4: Simplify right side
    38,562.44x = 1,694,200,297.02
  5. Step 5: Solve for x
    x = 1,694,200,297.02/38,562.44
  6. Step 6: Final answer
    x = 43,933.95

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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.