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Finding the Fourth Proportional to 31,322.28, 46,990.02 and 11,601

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Solution

The fourth proportional to 31,322.28, 46,990.02 and 11,601 is: 17,403.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,322.28 : 46,990.02 = 11,601 : x
  2. Step 2: Convert to fraction form
    31,322.28/46,990.02 = 11,601/x
  3. Step 3: Cross multiply
    31,322.28x = 46,990.02 × 11,601
  4. Step 4: Simplify right side
    31,322.28x = 545,131,222.02
  5. Step 5: Solve for x
    x = 545,131,222.02/31,322.28
  6. Step 6: Final answer
    x = 17,403.94

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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.