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Finding the Fourth Proportional to 31,097.20, 42,914.04 and 16,950.05

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Solution

The fourth proportional to 31,097.20, 42,914.04 and 16,950.05 is: 23,391.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,097.20 : 42,914.04 = 16,950.05 : x
  2. Step 2: Convert to fraction form
    31,097.20/42,914.04 = 16,950.05/x
  3. Step 3: Cross multiply
    31,097.20x = 42,914.04 × 16,950.05
  4. Step 4: Simplify right side
    31,097.20x = 727,395,123.70
  5. Step 5: Solve for x
    x = 727,395,123.70/31,097.20
  6. Step 6: Final answer
    x = 23,391.02

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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.