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Finding the Fourth Proportional to 55,189.74, 82,776.24 and 20,129.46

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Solution

The fourth proportional to 55,189.74, 82,776.24 and 20,129.46 is: 30,191.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,189.74 : 82,776.24 = 20,129.46 : x
  2. Step 2: Convert to fraction form
    55,189.74/82,776.24 = 20,129.46/x
  3. Step 3: Cross multiply
    55,189.74x = 82,776.24 × 20,129.46
  4. Step 4: Simplify right side
    55,189.74x = 1,666,241,012.03
  5. Step 5: Solve for x
    x = 1,666,241,012.03/55,189.74
  6. Step 6: Final answer
    x = 30,191.14

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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.