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Finding the Fourth Proportional to 33,442.34, 46,150.96 and 20,014.16

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Solution

The fourth proportional to 33,442.34, 46,150.96 and 20,014.16 is: 27,619.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,442.34 : 46,150.96 = 20,014.16 : x
  2. Step 2: Convert to fraction form
    33,442.34/46,150.96 = 20,014.16/x
  3. Step 3: Cross multiply
    33,442.34x = 46,150.96 × 20,014.16
  4. Step 4: Simplify right side
    33,442.34x = 923,672,762.94
  5. Step 5: Solve for x
    x = 923,672,762.94/33,442.34
  6. Step 6: Final answer
    x = 27,619.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.