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Finding the Fourth Proportional to 51,602.37, 71,145.33 and 33,420.96

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Solution

The fourth proportional to 51,602.37, 71,145.33 and 33,420.96 is: 46,078.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,602.37 : 71,145.33 = 33,420.96 : x
  2. Step 2: Convert to fraction form
    51,602.37/71,145.33 = 33,420.96/x
  3. Step 3: Cross multiply
    51,602.37x = 71,145.33 × 33,420.96
  4. Step 4: Simplify right side
    51,602.37x = 2,377,745,228.12
  5. Step 5: Solve for x
    x = 2,377,745,228.12/51,602.37
  6. Step 6: Final answer
    x = 46,078.22

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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.