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Finding the Fourth Proportional to 53,745.15, 80,506.85 and 31,491

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Solution

The fourth proportional to 53,745.15, 80,506.85 and 31,491 is: 47,171.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,745.15 : 80,506.85 = 31,491 : x
  2. Step 2: Convert to fraction form
    53,745.15/80,506.85 = 31,491/x
  3. Step 3: Cross multiply
    53,745.15x = 80,506.85 × 31,491
  4. Step 4: Simplify right side
    53,745.15x = 2,535,241,055.90
  5. Step 5: Solve for x
    x = 2,535,241,055.90/53,745.15
  6. Step 6: Final answer
    x = 47,171.53

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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.