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Finding the Fourth Proportional to 31,122.80, 46,781.40 and 30,539.60

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Solution

The fourth proportional to 31,122.80, 46,781.40 and 30,539.60 is: 45,904.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,122.80 : 46,781.40 = 30,539.60 : x
  2. Step 2: Convert to fraction form
    31,122.80/46,781.40 = 30,539.60/x
  3. Step 3: Cross multiply
    31,122.80x = 46,781.40 × 30,539.60
  4. Step 4: Simplify right side
    31,122.80x = 1,428,685,243.44
  5. Step 5: Solve for x
    x = 1,428,685,243.44/31,122.80
  6. Step 6: Final answer
    x = 45,904.78

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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.