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Finding the Fourth Proportional to 30,642.30, 45,977.73 and 18,186.83

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Solution

The fourth proportional to 30,642.30, 45,977.73 and 18,186.83 is: 27,288.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,642.30 : 45,977.73 = 18,186.83 : x
  2. Step 2: Convert to fraction form
    30,642.30/45,977.73 = 18,186.83/x
  3. Step 3: Cross multiply
    30,642.30x = 45,977.73 × 18,186.83
  4. Step 4: Simplify right side
    30,642.30x = 836,189,033.62
  5. Step 5: Solve for x
    x = 836,189,033.62/30,642.30
  6. Step 6: Final answer
    x = 27,288.72

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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.