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Finding the Fourth Proportional to 55,026.36, 82,551.78 and 19,965.24

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Solution

The fourth proportional to 55,026.36, 82,551.78 and 19,965.24 is: 29,952.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,026.36 : 82,551.78 = 19,965.24 : x
  2. Step 2: Convert to fraction form
    55,026.36/82,551.78 = 19,965.24/x
  3. Step 3: Cross multiply
    55,026.36x = 82,551.78 × 19,965.24
  4. Step 4: Simplify right side
    55,026.36x = 1,648,166,100.13
  5. Step 5: Solve for x
    x = 1,648,166,100.13/55,026.36
  6. Step 6: Final answer
    x = 29,952.30

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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.