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Finding the Fourth Proportional to 31,084.63, 46,613.24 and 8,892.96

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Solution

The fourth proportional to 31,084.63, 46,613.24 and 8,892.96 is: 13,335.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,084.63 : 46,613.24 = 8,892.96 : x
  2. Step 2: Convert to fraction form
    31,084.63/46,613.24 = 8,892.96/x
  3. Step 3: Cross multiply
    31,084.63x = 46,613.24 × 8,892.96
  4. Step 4: Simplify right side
    31,084.63x = 414,529,492.87
  5. Step 5: Solve for x
    x = 414,529,492.87/31,084.63
  6. Step 6: Final answer
    x = 13,335.51

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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.