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Finding the Fourth Proportional to 31,823.80, 47,735.70 and 8,452.60

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Solution

The fourth proportional to 31,823.80, 47,735.70 and 8,452.60 is: 12,678.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,823.80 : 47,735.70 = 8,452.60 : x
  2. Step 2: Convert to fraction form
    31,823.80/47,735.70 = 8,452.60/x
  3. Step 3: Cross multiply
    31,823.80x = 47,735.70 × 8,452.60
  4. Step 4: Simplify right side
    31,823.80x = 403,490,777.82
  5. Step 5: Solve for x
    x = 403,490,777.82/31,823.80
  6. Step 6: Final answer
    x = 12,678.90

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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.