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Finding the Fourth Proportional to 54,790.60, 82,272.30 and 31,462.60

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Solution

The fourth proportional to 54,790.60, 82,272.30 and 31,462.60 is: 47,243.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,790.60 : 82,272.30 = 31,462.60 : x
  2. Step 2: Convert to fraction form
    54,790.60/82,272.30 = 31,462.60/x
  3. Step 3: Cross multiply
    54,790.60x = 82,272.30 × 31,462.60
  4. Step 4: Simplify right side
    54,790.60x = 2,588,500,465.98
  5. Step 5: Solve for x
    x = 2,588,500,465.98/54,790.60
  6. Step 6: Final answer
    x = 47,243.51

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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.