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Finding the Fourth Proportional to 31,273.88, 46,912.98 and 10,499

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Solution

The fourth proportional to 31,273.88, 46,912.98 and 10,499 is: 15,749.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,273.88 : 46,912.98 = 10,499 : x
  2. Step 2: Convert to fraction form
    31,273.88/46,912.98 = 10,499/x
  3. Step 3: Cross multiply
    31,273.88x = 46,912.98 × 10,499
  4. Step 4: Simplify right side
    31,273.88x = 492,539,377.02
  5. Step 5: Solve for x
    x = 492,539,377.02/31,273.88
  6. Step 6: Final answer
    x = 15,749.23

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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.