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Finding the Fourth Proportional to 31,229.40, 46,811.70 and 17,167.80

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Solution

The fourth proportional to 31,229.40, 46,811.70 and 17,167.80 is: 25,733.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,229.40 : 46,811.70 = 17,167.80 : x
  2. Step 2: Convert to fraction form
    31,229.40/46,811.70 = 17,167.80/x
  3. Step 3: Cross multiply
    31,229.40x = 46,811.70 × 17,167.80
  4. Step 4: Simplify right side
    31,229.40x = 803,653,903.26
  5. Step 5: Solve for x
    x = 803,653,903.26/31,229.40
  6. Step 6: Final answer
    x = 25,733.89

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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.