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Finding the Fourth Proportional to 31,459.68, 43,414.67 and 17,312.85

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Solution

The fourth proportional to 31,459.68, 43,414.67 and 17,312.85 is: 23,891.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,459.68 : 43,414.67 = 17,312.85 : x
  2. Step 2: Convert to fraction form
    31,459.68/43,414.67 = 17,312.85/x
  3. Step 3: Cross multiply
    31,459.68x = 43,414.67 × 17,312.85
  4. Step 4: Simplify right side
    31,459.68x = 751,631,582.95
  5. Step 5: Solve for x
    x = 751,631,582.95/31,459.68
  6. Step 6: Final answer
    x = 23,891.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.