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Finding the Fourth Proportional to 31,046.60, 46,566.30 and 8,863.40

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Solution

The fourth proportional to 31,046.60, 46,566.30 and 8,863.40 is: 13,294.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,046.60 : 46,566.30 = 8,863.40 : x
  2. Step 2: Convert to fraction form
    31,046.60/46,566.30 = 8,863.40/x
  3. Step 3: Cross multiply
    31,046.60x = 46,566.30 × 8,863.40
  4. Step 4: Simplify right side
    31,046.60x = 412,735,743.42
  5. Step 5: Solve for x
    x = 412,735,743.42/31,046.60
  6. Step 6: Final answer
    x = 13,294.07

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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.