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Finding the Fourth Proportional to 54,709.17, 82,064.44 and 19,648.83

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Solution

The fourth proportional to 54,709.17, 82,064.44 and 19,648.83 is: 29,473.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,709.17 : 82,064.44 = 19,648.83 : x
  2. Step 2: Convert to fraction form
    54,709.17/82,064.44 = 19,648.83/x
  3. Step 3: Cross multiply
    54,709.17x = 82,064.44 × 19,648.83
  4. Step 4: Simplify right side
    54,709.17x = 1,612,470,101.30
  5. Step 5: Solve for x
    x = 1,612,470,101.30/54,709.17
  6. Step 6: Final answer
    x = 29,473.49

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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.