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Finding the Fourth Proportional to 31,273.20, 46,893.60 and 11,541.60

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Solution

The fourth proportional to 31,273.20, 46,893.60 and 11,541.60 is: 17,306.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,273.20 : 46,893.60 = 11,541.60 : x
  2. Step 2: Convert to fraction form
    31,273.20/46,893.60 = 11,541.60/x
  3. Step 3: Cross multiply
    31,273.20x = 46,893.60 × 11,541.60
  4. Step 4: Simplify right side
    31,273.20x = 541,227,173.76
  5. Step 5: Solve for x
    x = 541,227,173.76/31,273.20
  6. Step 6: Final answer
    x = 17,306.42

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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.