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Finding the Fourth Proportional to 31,105.49, 46,666.28 and 8,920.49

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Solution

The fourth proportional to 31,105.49, 46,666.28 and 8,920.49 is: 13,383.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,105.49 : 46,666.28 = 8,920.49 : x
  2. Step 2: Convert to fraction form
    31,105.49/46,666.28 = 8,920.49/x
  3. Step 3: Cross multiply
    31,105.49x = 46,666.28 × 8,920.49
  4. Step 4: Simplify right side
    31,105.49x = 416,286,084.08
  5. Step 5: Solve for x
    x = 416,286,084.08/31,105.49
  6. Step 6: Final answer
    x = 13,383.04

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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.