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Finding the Fourth Proportional to 31,324.68, 46,986.12 and 11,602.80

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Solution

The fourth proportional to 31,324.68, 46,986.12 and 11,602.80 is: 17,403.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,324.68 : 46,986.12 = 11,602.80 : x
  2. Step 2: Convert to fraction form
    31,324.68/46,986.12 = 11,602.80/x
  3. Step 3: Cross multiply
    31,324.68x = 46,986.12 × 11,602.80
  4. Step 4: Simplify right side
    31,324.68x = 545,170,553.14
  5. Step 5: Solve for x
    x = 545,170,553.14/31,324.68
  6. Step 6: Final answer
    x = 17,403.87

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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.