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Finding the Fourth Proportional to 31,326.68, 46,989.12 and 11,604.80

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Solution

The fourth proportional to 31,326.68, 46,989.12 and 11,604.80 is: 17,406.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,326.68 : 46,989.12 = 11,604.80 : x
  2. Step 2: Convert to fraction form
    31,326.68/46,989.12 = 11,604.80/x
  3. Step 3: Cross multiply
    31,326.68x = 46,989.12 × 11,604.80
  4. Step 4: Simplify right side
    31,326.68x = 545,299,339.78
  5. Step 5: Solve for x
    x = 545,299,339.78/31,326.68
  6. Step 6: Final answer
    x = 17,406.87

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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.