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Finding the Fourth Proportional to 31,039.88, 46,543.41 and 13,500.14

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Solution

The fourth proportional to 31,039.88, 46,543.41 and 13,500.14 is: 20,243.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,039.88 : 46,543.41 = 13,500.14 : x
  2. Step 2: Convert to fraction form
    31,039.88/46,543.41 = 13,500.14/x
  3. Step 3: Cross multiply
    31,039.88x = 46,543.41 × 13,500.14
  4. Step 4: Simplify right side
    31,039.88x = 628,342,318.36
  5. Step 5: Solve for x
    x = 628,342,318.36/31,039.88
  6. Step 6: Final answer
    x = 20,243.07

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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.