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Finding the Fourth Proportional to 55,462, 83,142.24 and 20,374.96

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Solution

The fourth proportional to 55,462, 83,142.24 and 20,374.96 is: 30,543.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,462 : 83,142.24 = 20,374.96 : x
  2. Step 2: Convert to fraction form
    55,462/83,142.24 = 20,374.96/x
  3. Step 3: Cross multiply
    55,462x = 83,142.24 × 20,374.96
  4. Step 4: Simplify right side
    55,462x = 1,694,019,814.31
  5. Step 5: Solve for x
    x = 1,694,019,814.31/55,462
  6. Step 6: Final answer
    x = 30,543.79

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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.