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Finding the Fourth Proportional to 33,442.96, 50,160.34 and 19,410.63

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Solution

The fourth proportional to 33,442.96, 50,160.34 and 19,410.63 is: 29,113.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,442.96 : 50,160.34 = 19,410.63 : x
  2. Step 2: Convert to fraction form
    33,442.96/50,160.34 = 19,410.63/x
  3. Step 3: Cross multiply
    33,442.96x = 50,160.34 × 19,410.63
  4. Step 4: Simplify right side
    33,442.96x = 973,643,800.41
  5. Step 5: Solve for x
    x = 973,643,800.41/33,442.96
  6. Step 6: Final answer
    x = 29,113.57

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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.