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Finding the Fourth Proportional to 55,150, 82,752.34 and 21,869.34

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Solution

The fourth proportional to 55,150, 82,752.34 and 21,869.34 is: 32,814.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,150 : 82,752.34 = 21,869.34 : x
  2. Step 2: Convert to fraction form
    55,150/82,752.34 = 21,869.34/x
  3. Step 3: Cross multiply
    55,150x = 82,752.34 × 21,869.34
  4. Step 4: Simplify right side
    55,150x = 1,809,739,059.26
  5. Step 5: Solve for x
    x = 1,809,739,059.26/55,150
  6. Step 6: Final answer
    x = 32,814.85

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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.