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Finding the Fourth Proportional to 55,128.34, 82,597.40 and 30,186.34

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Solution

The fourth proportional to 55,128.34, 82,597.40 and 30,186.34 is: 45,227.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,128.34 : 82,597.40 = 30,186.34 : x
  2. Step 2: Convert to fraction form
    55,128.34/82,597.40 = 30,186.34/x
  3. Step 3: Cross multiply
    55,128.34x = 82,597.40 × 30,186.34
  4. Step 4: Simplify right side
    55,128.34x = 2,493,313,199.52
  5. Step 5: Solve for x
    x = 2,493,313,199.52/55,128.34
  6. Step 6: Final answer
    x = 45,227.43

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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.