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Finding the Fourth Proportional to 31,166.40, 46,749.60 and 8,977.80

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Solution

The fourth proportional to 31,166.40, 46,749.60 and 8,977.80 is: 13,466.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,166.40 : 46,749.60 = 8,977.80 : x
  2. Step 2: Convert to fraction form
    31,166.40/46,749.60 = 8,977.80/x
  3. Step 3: Cross multiply
    31,166.40x = 46,749.60 × 8,977.80
  4. Step 4: Simplify right side
    31,166.40x = 419,708,558.88
  5. Step 5: Solve for x
    x = 419,708,558.88/31,166.40
  6. Step 6: Final answer
    x = 13,466.70

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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.