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Finding the Fourth Proportional to 52,652.49, 78,889.62 and 31,832.25

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Solution

The fourth proportional to 52,652.49, 78,889.62 and 31,832.25 is: 47,694.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,652.49 : 78,889.62 = 31,832.25 : x
  2. Step 2: Convert to fraction form
    52,652.49/78,889.62 = 31,832.25/x
  3. Step 3: Cross multiply
    52,652.49x = 78,889.62 × 31,832.25
  4. Step 4: Simplify right side
    52,652.49x = 2,511,234,106.25
  5. Step 5: Solve for x
    x = 2,511,234,106.25/52,652.49
  6. Step 6: Final answer
    x = 47,694.50

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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.