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Finding the Fourth Proportional to 52,775.44, 72,835.60 and 31,278

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Solution

The fourth proportional to 52,775.44, 72,835.60 and 31,278 is: 43,166.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,775.44 : 72,835.60 = 31,278 : x
  2. Step 2: Convert to fraction form
    52,775.44/72,835.60 = 31,278/x
  3. Step 3: Cross multiply
    52,775.44x = 72,835.60 × 31,278
  4. Step 4: Simplify right side
    52,775.44x = 2,278,151,896.80
  5. Step 5: Solve for x
    x = 2,278,151,896.80/52,775.44
  6. Step 6: Final answer
    x = 43,166.90

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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.