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Finding the Fourth Proportional to 55,380, 83,104.56 and 22,548

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Solution

The fourth proportional to 55,380, 83,104.56 and 22,548 is: 33,836.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,380 : 83,104.56 = 22,548 : x
  2. Step 2: Convert to fraction form
    55,380/83,104.56 = 22,548/x
  3. Step 3: Cross multiply
    55,380x = 83,104.56 × 22,548
  4. Step 4: Simplify right side
    55,380x = 1,873,841,618.88
  5. Step 5: Solve for x
    x = 1,873,841,618.88/55,380
  6. Step 6: Final answer
    x = 33,836.07

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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.