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Finding the Fourth Proportional to 31,104.60, 46,656.90 and 17,982.60

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Solution

The fourth proportional to 31,104.60, 46,656.90 and 17,982.60 is: 26,973.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,104.60 : 46,656.90 = 17,982.60 : x
  2. Step 2: Convert to fraction form
    31,104.60/46,656.90 = 17,982.60/x
  3. Step 3: Cross multiply
    31,104.60x = 46,656.90 × 17,982.60
  4. Step 4: Simplify right side
    31,104.60x = 839,012,369.94
  5. Step 5: Solve for x
    x = 839,012,369.94/31,104.60
  6. Step 6: Final answer
    x = 26,973.90

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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.