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Finding the Fourth Proportional to 31,459.46, 43,414.06 and 17,312.30

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Solution

The fourth proportional to 31,459.46, 43,414.06 and 17,312.30 is: 23,890.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,459.46 : 43,414.06 = 17,312.30 : x
  2. Step 2: Convert to fraction form
    31,459.46/43,414.06 = 17,312.30/x
  3. Step 3: Cross multiply
    31,459.46x = 43,414.06 × 17,312.30
  4. Step 4: Simplify right side
    31,459.46x = 751,597,230.94
  5. Step 5: Solve for x
    x = 751,597,230.94/31,459.46
  6. Step 6: Final answer
    x = 23,890.98

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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.